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QUESTION IMAGE

multiply the polynomials. (7 - 2x)(4x^2 - 9) =

Question

multiply the polynomials. (7 - 2x)(4x^2 - 9) =

Explanation:

Step1: Apply distributive property

$7(4x^{2}-9)-2x(4x^{2}-9)$

Step2: Multiply 7 with terms in first - parentheses

$7\times4x^{2}-7\times9=28x^{2}-63$

Step3: Multiply - 2x with terms in second - parentheses

$-2x\times4x^{2}-2x\times(-9)=-8x^{3}+18x$

Step4: Combine results

$-8x^{3}+28x^{2}+18x - 63$

Answer:

$-8x^{3}+28x^{2}+18x - 63$