Question

expand the expression to a polynomial in standard form:
$(2x - 1)(2x^2 - 9x + 3)$
answer attempt 1 out of 2
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Explanation:

Step1: Distribute $2x$ to each term

$2x \cdot 2x^2 + 2x \cdot (-9x) + 2x \cdot 3 = 4x^3 - 18x^2 + 6x$

Step2: Distribute $-1$ to each term

$-1 \cdot 2x^2 + (-1) \cdot (-9x) + (-1) \cdot 3 = -2x^2 + 9x - 3$

Step3: Combine like terms

$4x^3 + (-18x^2 - 2x^2) + (6x + 9x) + (-3) = 4x^3 - 20x^2 + 15x - 3$

Answer:

$4x^3 - 20x^2 + 15x - 3$