Question

multiply polynomials (level 1)
score: 1.75/10 penalty: 0.25 off
question
expand the expression to a polynomial in standard form:
(3x - 4)(3x² + 3x - 4)
answer attempt 1 out of 2
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Explanation:

Step1: Distribute $3x$ to each term

$3x \cdot 3x^2 + 3x \cdot 3x + 3x \cdot (-4) = 9x^3 + 9x^2 - 12x$

Step2: Distribute $-4$ to each term

$-4 \cdot 3x^2 + (-4) \cdot 3x + (-4) \cdot (-4) = -12x^2 - 12x + 16$

Step3: Combine like terms

$9x^3 + (9x^2 - 12x^2) + (-12x - 12x) + 16 = 9x^3 - 3x^2 - 24x + 16$

Answer:

$9x^3 + 3x^2 - 24x + 16$