Question

Simplify: (9x^3+2x^2-5x+4)-(5x^3-7x+4)

Show all steps used to solve this problem and write your final answer in factored form in the space provided.

Answer 1

1) Remove parentheses.

`9x^(3)+ 2x^(2) -5x+4-5x^(3) +7x-4`

2) Collect like terms.

`(9x^(3)-5x^(3))+2x^(2) +(-5x+7x)+(4-4)`

3) Simplify.

`4x^(3)+2x^(2)+2x`

--------------------------(DONE)---------------------------------

Answer 2

To simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4), we can start by combining like terms.

First, we need to distribute the negative sign to the second set of parentheses:

(9x^3+2x^2-5x+4) - 1(5x^3-7x-4)

= 9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4 (distributing the negative sign)

= (9x^3 - 5x^3) + 2x^2 - 5x + (4 - 4 + 7x) (grouping like terms)

= 4x^3 + 2x^2 + 2x (combining like terms)

Therefore, the simplified expression is 4x^3 + 2x^2 + 2x.

We cannot factor this expression further as there are no common factors between the terms.