13. simplify (2x^2 - 5x + 2) - (-7x^3 - 6x^2 + 2x)\na. 7x^3 + 8x^2 - 7x + 2\nb. -7x^3 - 4x^2 - 3x + 2\nc…

13. simplify (2x^2 - 5x + 2) - (-7x^3 - 6x^2 + 2x)\na. 7x^3 + 8x^2 - 7x + 2\nb. -7x^3 - 4x^2 - 3x + 2\nc. -7x^3 + 8x^2 - 7x + 2\nd. 7x^3 + 4x^2 + 3x + 2

13. simplify (2x^2 - 5x + 2) - (-7x^3 - 6x^2 + 2x)\na. 7x^3 + 8x^2 - 7x + 2\nb. -7x^3 - 4x^2 - 3x + 2\nc. -7x^3 + 8x^2 - 7x + 2\nd. 7x^3 + 4x^2 + 3x + 2

Answer

Explanation:

Step1: Remove parentheses

$(2x^{2}-5x + 2)-(-7x^{3}-6x^{2}+2x)=2x^{2}-5x + 2 + 7x^{3}+6x^{2}-2x$

Step2: Combine like - terms

$7x^{3}+(2x^{2}+6x^{2})+(-5x-2x)+2=7x^{3}+8x^{2}-7x + 2$

Answer:

A. $7x^{3}+8x^{2}-7x + 2$