Mathematics: Simplify: 3 (2x - 4)

Simplify: 3 (2x - 4), №17887645, 28.03.2020 15:12

Mathematics

Simplify each expression by using the distributive property and combining like terms. 3 (2x - 4) - 4x

Step-by-step answer

P Answered by PhD

Given:

The expression is

3(2x-4)-4x

To find:

The simplified form of the given expression by using the distributive property and combining like terms.

Solution:

We have,

3(2x-4)-4x

Using the distributive property, we get

=3(2x)+3(-4)-4x

=6x-12-4x

On combining like terms, we get

=(6x-4x)-12

=2x-12

Therefore, the simplified form of the given expression is 2x-12 .

Mathematics

Simplify each expression. 1. 3x + 2(5x - 7) 2. 9 - 3(2x - 4) 3. 8x - 6(3 - 2x) 4. -5 + 5(x + 4) 5. 4 (6n + 9) - 10n 6. 14 - 3(4n - 1) 7. -8n + 8(4 + 2n) 8. 7k - 2(3k + 1) - 9 9. k + 1 - 4(2k - 9) 10. -6 + 5(8 - k) - 8k 11. -10k - 3 + 2(5 + 6k) 12. 8 + 9x + 4(11 - 2x) 13. -4(2x - 7) + 6x - 7 14. 9 + 3(4 - 3x) + 12x 15. 5(2y - 4) + 2(y + 9) 16. -4(3u - 1) +7(3 - 2u) 17. 6(-5u + 1) - 3(4u - 12) 18. -3(u + 5) + 8(2u + 1)

Step-by-step answer

P Answered by Master

5

1：13x-14

2:-6x+21

3: 20x-18

4:5x+15

5:14n+36

6:-12n+17

7:8n+32

8:k-11

9:-7k+37

10:-13k+34

11:2k+7

12:x+52

13:-2x+21

14:3x+21

15:12y-11

16:-26u+25

17:-42u+42

18:13u-7

Mathematics

Simplify each expression. 1. 3x + 2(5x - 7) 2. 9 - 3(2x - 4) 3. 8x - 6(3 - 2x) 4. -5 + 5(x + 4) 5. 4 (6n + 9) - 10n 6. 14 - 3(4n - 1) 7. -8n + 8(4 + 2n) 8. 7k - 2(3k + 1) - 9 9. k + 1 - 4(2k - 9) 10. -6 + 5(8 - k) - 8k 11. -10k - 3 + 2(5 + 6k) 12. 8 + 9x + 4(11 - 2x) 13. -4(2x - 7) + 6x - 7 14. 9 + 3(4 - 3x) + 12x 15. 5(2y - 4) + 2(y + 9) 16. -4(3u - 1) +7(3 - 2u) 17. 6(-5u + 1) - 3(4u - 12) 18. -3(u + 5) + 8(2u + 1)

Step-by-step answer

P Answered by Specialist

5

1：13x-14

2:-6x+21

3: 20x-18

4:5x+15

5:14n+36

6:-12n+17

7:8n+32

8:k-11

9:-7k+37

10:-13k+34

11:2k+7

12:x+52

13:-2x+21

14:3x+21

15:12y-11

16:-26u+25

17:-42u+42

18:13u-7

Mathematics

Simplify each expression. 1. 3x + 2(5x - 7) 2. 9 - 3(2x - 4) 3. 8x - 6(3 - 2x) 4. -5 + 5(x + 4) 5. 4 (6n + 9) - 10n 6. 14 - 3(4n - 1) 7. -8n + 8(4 + 2n) 8. 7k - 2(3k + 1) - 9 9. k + 1 - 4(2k - 9) 10. -6 + 5(8 - k) - 8k 11. -10k - 3 + 2(5 + 6k) 12. 8 + 9x + 4(11 - 2x) 13. -4(2x - 7) + 6x - 7 14. 9 + 3(4 - 3x) + 12x 15. 5(2y - 4) + 2(y + 9) 16. -4(3u - 1) +7(3 - 2u) 17. 6(-5u + 1) - 3(4u - 12) 18. -3(u + 5) + 8(2u + 1)

Step-by-step answer

P Answered by PhD

4

1. 13x - 14

2. 21 - 6x

3. 20x - 18

4. 15 + 5x

5. 14n + 36

6. 9 - 12n

7. 8n + 32

8. k - 11

9. -7k +37

10. 36 - 13k

11. 2k + 7

12. 52 + x

13. -2x -21

14. 21 + 3x

15. 12v - 2

Step-by-step explanation:

Mathematics

1.) use the distributive property to simplify the expression . (-1)(4 - c) a. 4 - c b. -4 + c c. 4 + c d.-4 - c 2.)use the distributive property to simplify the expression 4(2x - 4) a.8x + 4 b.8x - 4 c.8x - 16 d.4x - 16 3.) use the distributive property to simplify the expression (10 + 4y) 1/2 a. 5 + 2y b. 20 + 8y c. 5 + 4y d. 10 +2y 4.) to which subsets of real numbers does the number - 22 belong ? choose all that apply (2 points) a.whole numbers b.rational numbers c. integers d. irrational numbers e. natural numbers 5.)what is an algebraic expression

Step-by-step answer

P Answered by Specialist

8

1.b
2.c
3.a
4.a&c
5.b
6.
7.c
8.
9.

Mathematics

1.) use the distributive property to simplify the expression . (-1)(4 - c) a. 4 - c b. -4 + c c. 4 + c d.-4 - c 2.)use the distributive property to simplify the expression 4(2x - 4) a.8x + 4 b.8x - 4 c.8x - 16 d.4x - 16 3.) use the distributive property to simplify the expression (10 + 4y) 1/2 a. 5 + 2y b. 20 + 8y c. 5 + 4y d. 10 +2y 4.) to which subsets of real numbers does the number - 22 belong ? choose all that apply (2 points) a.whole numbers b.rational numbers c. integers d. irrational numbers e. natural numbers 5.)what is an algebraic expression

Step-by-step answer

P Answered by Specialist

8

1.b
2.c
3.a
4.a&c
5.b
6.
7.c
8.
9.

Mathematics

1. which of the following is the factored form of the expression: 3x2 – 4x? a. x(3x - 4) b. x(3 – 4x) c. (3x -1) (x -1) d. (3x +1)(x -1) 2. which is a completely factored form of the expression: x2 + 21x +20 ? a. (x + 5)(x + 4) b. (x + 10)(x + 2) c. (x + 20)(x + 1) d. (x + 21)(x - 1) 3. which expression is factored form of 4x2 -9? a. 2(x - 3)2 b. (x - 3)2 c. 2(x + 3)(x - 3) d. (2x + 3)(2x - 3) 4. below are factored forms of the expression: 12x3 – 36x2 . which expression has the greatest common factor as the first term? a. 3x (4x2 – 12x) b. 4x2(3x

Step-by-step answer

P Answered by PhD

34

1. 3x^2-4x=x(3x-4) - A.

2. x^2 + 21x +20=(x-x_1)(x-x_2)

Find the roots:

$D=21^2-4\cdot 20=441-80=361, \ \sqrt{D}=19,\\ \\x_1=\dfrac{-21-19}{2}=-20, \ x_2=\dfrac{-21+19}{2}=-1$ ,

then

x^2 + 21x +20=(x+20)(x+1) - C.

3. 4x^2 -9=(2x)^2-3^2=(2x-3)(2x+3) - D.

4. 12x^3-36x^2=12x^2(x-3) - C.

5. x^2 -5x -6=(x-x_1)(x-x_2)

Find the roots:

$D=(-5)^2-4\cdot (-6)=25+24=49, \ \sqrt{D}=7,\\ \\x_1=\dfrac{5-7}{2}=-1, \ x_2=\dfrac{5+7}{2}=6$ ,

then

x^2 -5x -6=(x-6)(x+1) and the width of the lawn is x-6 - A.

6. Since x^2 + 5x -24=(x+8)(x-3) the length and width are x+8 and x-3 - A.

7. 32 -8z^2=8(4-z^2)=8(2^2-z^2)=8(2-z)(2+z) - B.

8. $12x^2=2\cdot 2\cdot 3\cdot x\cdot x, \\24x^2y^2=2\cdot 2\cdot 2\cdot3\cdot x\cdot x\cdot y\cdot y , \\ 46xy=2\cdot 23\cdot x\cdot y$ .

So the greatest common divisor is $2\cdot x=2x$ - D.

9. 2x^2 -3x -35=2(x-x_1)(x-x_2)

Find the roots:

$D=(-3)^2-4\cdot (-35)\cdot 2=9+280=289, \ \sqrt{D}=17,\\ \\x_1=\dfrac{3-17}{2\cdot 2}=-\dfrac{7}{2}, \ x_2=\dfrac{3+17}{2\cdot 2}=5$ ,

then

$2x^2 -3x -35=2(x+\dfrac{7}{2})(x-5)=(2x+7)(x-5)$ - A.

10. $81x^2 + 36x + 4=(9x)^2+2\cdot 9x\cdot 2+2^2=(9x+2)^2$ - B.

11. $18x^2+ 69x +60=3(6x^2+23x+20)=3\cdot 6(x+\dfrac{5}{2})(x+\dfrac{4}{3})=(6x+15)(3x+4)$ , the length is 6x+15.

12. $(x^2 +2x)(5x -3) =x^2\cdot 5x-x^2\cdot 3+2x\cdot 5x-2x\cdot 3=5x^3-3x^2+10x^2-6x=5x^3+7x^2-6x$ - C.

13. 30g^5 +24g^3h- 35g^2h^2 - 28h^3=(30g^5 +24g^3h)-(35g^2h^2+ 28h^3)=6g^3(5g^2+4h)-7h^2(5g^2+4h)=(5g^2+4h)(6g^3-7h^2) .

14. x^2 -16=(x-4)(x+4) - B.

15. $81p^2 + 90p +25=(9p)^2+2\cdot 9p\cdot 5+5^2=(9p+5)^2$ , the length of one side is 9p+5.

Mathematics

1. which of the following is the factored form of the expression: 3x2 – 4x? a. x(3x - 4) b. x(3 – 4x) c. (3x -1) (x -1) d. (3x +1)(x -1) 2. which is a completely factored form of the expression: x2 + 21x +20 ? a. (x + 5)(x + 4) b. (x + 10)(x + 2) c. (x + 20)(x + 1) d. (x + 21)(x - 1) 3. which expression is factored form of 4x2 -9? a. 2(x - 3)2 b. (x - 3)2 c. 2(x + 3)(x - 3) d. (2x + 3)(2x - 3) 4. below are factored forms of the expression: 12x3 – 36x2 . which expression has the greatest common factor as the first term? a. 3x (4x2 – 12x) b. 4x2(3x

Step-by-step answer

P Answered by PhD

34

1. 3x^2-4x=x(3x-4) - A.

2. x^2 + 21x +20=(x-x_1)(x-x_2)

Find the roots:

$D=21^2-4\cdot 20=441-80=361, \ \sqrt{D}=19,\\ \\x_1=\dfrac{-21-19}{2}=-20, \ x_2=\dfrac{-21+19}{2}=-1$ ,

then

x^2 + 21x +20=(x+20)(x+1) - C.

3. 4x^2 -9=(2x)^2-3^2=(2x-3)(2x+3) - D.

4. 12x^3-36x^2=12x^2(x-3) - C.

5. x^2 -5x -6=(x-x_1)(x-x_2)

Find the roots:

$D=(-5)^2-4\cdot (-6)=25+24=49, \ \sqrt{D}=7,\\ \\x_1=\dfrac{5-7}{2}=-1, \ x_2=\dfrac{5+7}{2}=6$ ,

then

x^2 -5x -6=(x-6)(x+1) and the width of the lawn is x-6 - A.

6. Since x^2 + 5x -24=(x+8)(x-3) the length and width are x+8 and x-3 - A.

7. 32 -8z^2=8(4-z^2)=8(2^2-z^2)=8(2-z)(2+z) - B.

8. $12x^2=2\cdot 2\cdot 3\cdot x\cdot x, \\24x^2y^2=2\cdot 2\cdot 2\cdot3\cdot x\cdot x\cdot y\cdot y , \\ 46xy=2\cdot 23\cdot x\cdot y$ .

So the greatest common divisor is $2\cdot x=2x$ - D.

9. 2x^2 -3x -35=2(x-x_1)(x-x_2)

Find the roots:

$D=(-3)^2-4\cdot (-35)\cdot 2=9+280=289, \ \sqrt{D}=17,\\ \\x_1=\dfrac{3-17}{2\cdot 2}=-\dfrac{7}{2}, \ x_2=\dfrac{3+17}{2\cdot 2}=5$ ,

then

$2x^2 -3x -35=2(x+\dfrac{7}{2})(x-5)=(2x+7)(x-5)$ - A.

10. $81x^2 + 36x + 4=(9x)^2+2\cdot 9x\cdot 2+2^2=(9x+2)^2$ - B.

11. $18x^2+ 69x +60=3(6x^2+23x+20)=3\cdot 6(x+\dfrac{5}{2})(x+\dfrac{4}{3})=(6x+15)(3x+4)$ , the length is 6x+15.

12. $(x^2 +2x)(5x -3) =x^2\cdot 5x-x^2\cdot 3+2x\cdot 5x-2x\cdot 3=5x^3-3x^2+10x^2-6x=5x^3+7x^2-6x$ - C.

13. 30g^5 +24g^3h- 35g^2h^2 - 28h^3=(30g^5 +24g^3h)-(35g^2h^2+ 28h^3)=6g^3(5g^2+4h)-7h^2(5g^2+4h)=(5g^2+4h)(6g^3-7h^2) .

14. x^2 -16=(x-4)(x+4) - B.

15. $81p^2 + 90p +25=(9p)^2+2\cdot 9p\cdot 5+5^2=(9p+5)^2$ , the length of one side is 9p+5.

Mathematics

Simplify. 9y + 11z + 7y - 4z what is the answer? 16y + 7z which expression shows the result of applying the distributive property to 12(5y + 4) ? 60y + 48 which expression shows the result of applying the distributive property to -2(1/3x - 1/5) ? -2/3x + 2/5 factor the expression. 24 - 18y enter your answers in the boxes to complete the factored expression. 6(4) - 3y) which expression is the factored form of 2/3x + 4 ? 2/3 (x + 6) simplify. 8u + 9u + 3u - 5u what is the answer? 11u + 4v which expression shows the result of applying the distributive

Step-by-step answer

P Answered by Specialist

7

Thanks so much! =^-^= Really helped a lot.

Mathematics

Name period date use the distributive ? instructions: simplify the path of correct answers to dibutive property to simplify: maze simplify the expression in the first box. follow the answers to the bee find his way back to the hive! begin: 4(x + 2) 4x + 8 2(3x - 4) 6x-8 1-4(3 - 6x) 2x + 18-2(2 – 3x) 4x +6 4x - 6x --6x + 8 24x - 12 - (2- 12x) 48x – 7(2 - x) 4x+8 7(1 + 2x) 16x- 8 8x(2 + 4) 7x - 14 24x - 12 t24x – 12 24x - 12 24x – 12 --6(2x + 7) -12x – 5 -(5 + 12x) 22x-66 -(5 + 12x) 22x - 66 11(2x - 6) 2x+18 -2(-x-9) -2x + 18 -12x - 42 -5x - 12 22x

Step-by-step answer

P Answered by PhD

4

4x+8

6x-8

48x^2+30x-4

Step-by-step explanation:

a) 4(x + 2)=4x+8

b) 2(3x - 4) =6x-8

c) 4(3 - 6x) 2x + 18-2(2 – 3x)

=(12-24x)2x-4+6x

=24x-48x^2-4+6x

=-48x^2+30x-4

Simplify:
3 (2x - 4)

Step-by-step answer

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