Question

Simplify the following polynomial expression.

(5x3 + 4x2+ 6x - 3) + (-2x3 + 3x2 - 7x + 9) - (5x + 3)(4x2 + x - 1)

Answer 1

Answer: -5x^2 - 39x + 8

Step-by-step explanation: Simplify the expression.

Hope this helps you out! ☺

-Karleif-

Answer 2

-17x^3 - 10x^2 + x + 9

Explanation:

Given:

(5x^3 + 4x^2+ 6x - 3) + (-2x^3 + 3x^2 - 7x + 9) - (5x + 3)(4x^2 + x - 1)

First apply distributive property of multiplication in the last term:

(5x^3 + 4x^2+ 6x - 3) + (-2x^3 + 3x^2 - 7x + 9) - (20x^3 + 5x^2 - 5x + 12x^2 + 3x -3)

(5x^3 + 4x^2+ 6x - 3) + (-2x^3 + 3x^2 - 7x + 9) - (20x^3 + 17x^2 - 2x -3)

Then, add and subtract the corresponding terms as follows:

(5x^3 - 2x^3 - 20x^3) + (4x^2 + 3x^2 - 17x^2) + (6x - 7x + 2x) + (-3 + 9 + 3)

-17x^3 - 10x^2 + x + 9