Question

simplify: $-2x^2left(4x^2 - 2 + 7x^3
ight)$

Explanation:

Step1: Rearrange polynomial terms

$4x^2 - 2 + 7x^3 = 7x^3 + 4x^2 - 2$

Step2: Distribute $-2x^2$ to each term

$-2x^2(7x^3) + (-2x^2)(4x^2) + (-2x^2)(-2)$

Step3: Calculate each product

$-14x^{2+3} -8x^{2+2} +4x^2 = -14x^5 -8x^4 +4x^2$

Answer:

$-14x^5 -8x^4 +4x^2$