What is the product? (x – 3)(2×2 – 5x + 1)

Question

What is the product?
(x – 3)(2×2 – 5x + 1)

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2 weeks 2021-09-09T10:11:45+00:00 1 Answer 0

Answers ( )

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    2021-09-09T10:13:38+00:00

    Answer:

    \large\boxed{(x-3)(2x^2-5x+1)=2x^3-11x^2+16x-3}

    Step-by-step explanation:

    Use the distributive property: a(b + c) = ab + ac:

    (x-3)(2x^2-5x+1)=(x-3)(2x^2)+(x-3)(-5x)+(x-3)(1)\\\\=(x)(2x^2)+(-3)(2x^2)+(x)(-5x)+(-3)(-5x)+x-3\\\\=2x^3-6x^2-5x^2+15x+x-3\qquad\text{combine like terms}\\\\=2x^3+(-6x^2-5x^2)+(15x+x)-3\\\\=2x^3-11x^2+16x-3

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