What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x sq

Question

What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction

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Eva 22 hours 2021-09-14T22:23:53+00:00 2 Answers 0

Answers ( )

    0
    2021-09-14T22:25:01+00:00

    Answer:

    [x(x – 1)(x – 4)]/(2(x + 4))

    Step-by-step explanation:

    We want to find;

    [(x² – 16)/(2x + 8)] * [(x³ – 2x² + x)/(x² + 3x – 4)]

    Now,

    x² – 16 can be factorized as;

    (x + 4)(x – 4)

    Also, 2x + 8 can be factorized as;

    2(x + 4)

    Also, (x³ – 2x² + x) can factorized as;

    x[x² – 2x + 1] = x[(x – 1)(x – 1)]

    Also,(x² + 3x – 4) can be factorized out as; (x – 1)(x + 4)

    So plugging in these factorized forms into the equation in the question, we have;

    [(x + 4)(x – 4)/(2(x + 4))] * [x[(x – 1)(x – 1)] /((x – 1)(x + 4))

    This gives;

    ((x – 4)/2) * x(x – 1)/(x +4)

    This gives;

    [x(x – 1)(x – 4)]/(2(x + 4))

    0
    2021-09-14T22:25:37+00:00

    Answer:

    [x(x – 1)(x – 4)]/(2(x + 4))

    Step-by-step explanation:

    its A on edg

    StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction

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