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)

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)

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.