Question

question
expand the expression to a polynomial in standard form:
(2x - 7)(2x² + 2x - 1)
answer attempt 1 out of 2

Explanation:

Step1: Distribute $2x$ to each term

$2x(2x^2 + 2x - 1) = 4x^3 + 4x^2 - 2x$

Step2: Distribute $-7$ to each term

$-7(2x^2 + 2x - 1) = -14x^2 - 14x + 7$

Step3: Combine all expanded terms

$4x^3 + 4x^2 - 2x -14x^2 -14x +7$

Step4: Combine like terms

$4x^3 + (4x^2-14x^2) + (-2x-14x) +7 = 4x^3 -10x^2 -16x +7$

Answer:

$4x^3 - 10x^2 - 16x + 7$