21.03.2023

How to solve Simplify (4x - 5) - (3x - 10).

. 0

Step-by-step answer

09.07.2023, solved by verified expert

Faq

Mathematics
Step-by-step answer
P Answered by Specialist
1. A polynomial means it has more than one term. 
   a. has 4 terms
   b. has 1 term (not a POLYnomial)
   c. has 3 terms
   d. has 2 terms
2. The first word in a polynomial description tells the degree (max amount of exponents) of the expression, and the second word tells how many terms it has.
   a. This answer means it's maxed exponent is to the fourth power, which it's not. (WRONG)
   b. This answer means that it has a max exponent to the third power, which is true, and it also says it has three terms, which is also true. (CORRECT)
3. You must combine like terms in this polynomial.
=> 14x^2 - 6x^2 =8x^2
=> 5x + 2x = 7x
=> -8
   d. This answer combines all the terms correctly.
4. To simplify this equation, you must first distribute the negative to all of the second equation.
(4x^2 -3x+2) + (-2x^2-5x+7)
Now, combine like terms.
=>4x^2 - 2x^2 = 2x^2
=>-3x - 5x = -8x
=>2 + 7 = 9
   d. This answer simplifies it correctly
Mathematics
Step-by-step answer
P Answered by Specialist
1. A polynomial means it has more than one term. 
   a. has 4 terms
   b. has 1 term (not a POLYnomial)
   c. has 3 terms
   d. has 2 terms
2. The first word in a polynomial description tells the degree (max amount of exponents) of the expression, and the second word tells how many terms it has.
   a. This answer means it's maxed exponent is to the fourth power, which it's not. (WRONG)
   b. This answer means that it has a max exponent to the third power, which is true, and it also says it has three terms, which is also true. (CORRECT)
3. You must combine like terms in this polynomial.
=> 14x^2 - 6x^2 =8x^2
=> 5x + 2x = 7x
=> -8
   d. This answer combines all the terms correctly.
4. To simplify this equation, you must first distribute the negative to all of the second equation.
(4x^2 -3x+2) + (-2x^2-5x+7)
Now, combine like terms.
=>4x^2 - 2x^2 = 2x^2
=>-3x - 5x = -8x
=>2 + 7 = 9
   d. This answer simplifies it correctly
Mathematics
Step-by-step answer
P Answered by PhD

x - 12

Step-by-step explanation:

Step 1: Write out expression

(4x - 6) - (3x + 6)

Step 2: Distribute negative

4x - 6 - 3x - 6

Step 3: Combine like terms

x - 12

Mathematics
Step-by-step answer
P Answered by PhD

9x-5

Step-by-step explanation:

Add the common values together:

(4x-6)+(5x+1)

4x+5x -6+19x-5
Mathematics
Step-by-step answer
P Answered by PhD

x - 12

Step-by-step explanation:

Step 1: Write out expression

(4x - 6) - (3x + 6)

Step 2: Distribute negative

4x - 6 - 3x - 6

Step 3: Combine like terms

x - 12

Mathematics
Step-by-step answer
P Answered by PhD

9x-5

Step-by-step explanation:

Add the common values together:

(4x-6)+(5x+1)

4x+5x -6+19x-5
Mathematics
Step-by-step answer
P Answered by Specialist

x+5

Step-by-step explanation:

\left(4x-5\right)-\left(3x-10\right)

\mathrm{Apply\:rule}:\quad \left(a\right)=a

\left(4x-5\right)=4x-5

=4x-5-\left(3x-10\right)

\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b

-\left(3x-10\right)=-3x+10

=4x-5-3x+10

\mathrm{Group\:like\:terms}

=4x-3x-5+10

\mathrm{Add\:the\:numbers:}\:-5+10=5

=4x-3x+5

\mathrm{Add\:similar\:elements:}\:4x-3x=x

=x+5

Mathematics
Step-by-step answer
P Answered by PhD

8x - 26 \\ -16x - 4 \\ -12x + 15

Step-by-step explanation:

2(4x - 8) - 10

8x - 16 - 10

|_______|

8x - 26

-5x + 8 - 11x - 12

___ ___ _____ ____

___ ____

-16x - 4

-3(4x - 5)

-12x + 15

For the third and first exercises, you just use the Distributive Property, and for the second exercise, all you are doing is combining like-terms.

I am joyous to assist you anytime.

Mathematics
Step-by-step answer
P Answered by PhD

8x - 26 \\ -16x - 4 \\ -12x + 15

Step-by-step explanation:

2(4x - 8) - 10

8x - 16 - 10

|_______|

8x - 26

-5x + 8 - 11x - 12

___ ___ _____ ____

___ ____

-16x - 4

-3(4x - 5)

-12x + 15

For the third and first exercises, you just use the Distributive Property, and for the second exercise, all you are doing is combining like-terms.

I am joyous to assist you anytime.

Mathematics
Step-by-step answer
P Answered by PhD
3x³ + 5

Step-by-step explanation:

( 4x - 2x³ ) + ( 5x³ - 4x + 5)

Remove the parenthesis

That's

4x - 2x³ + 5x³ - 4x + 5

Group like terms

We have

5x³ - 2x³ + 4x - 4x + 5

We have the final answer as

3x³ + 5

Hope this helps you

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