PLEASE HELP ME!!! An expression is shown below: 10n3 − 15n2 + 20xn2 − 30xn Part A: Rewrite t

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PLEASE HELP ME!!!

An expression is shown below:

10n3 − 15n2 + 20xn2 − 30xn

Part A: Rewrite the expression so the GCF is factored completely. (4 points)

Part B: Rewrite the expression completely factored. Show the steps of your work. (6 points)

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  1. Answer:

    (5n² + 10xn)(2n – 3)

    Step-by-step explanation:

    10n³ – 15n² + 20xn² – 30xn

    First step is to rearrange so that it can be grouped. We have

    (10n³ – 15n²) + (20xn² – 30xn)

    Next, we find the Greatest Common Factor of each of the part in the grouping, so that

    5n²(2n – 3) + 10xn (2n – 3)

    And lastly, we rewrite the factorised expression.

    (5n² + 10xn)(2n – 3)

    And this is the answer.

    I hope you find the steps easy to understand.

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