Question

An expression is shown below:

Answer 1

Answer:

An expression is shown below:

10n³− 15n² + 20xn² − 30xn

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

10n³− 15n² + 20xn² − 30xn

2*5*n*n*n-5*3*n*n+2*5*2*x*n*n-2*5*3*x*n

Greatest common factor=5*n=5n

Part B: Rewrite the expression completely factored. Show the steps of your work.

Solution given;

10n³− 15n² + 20xn² − 30xn

5n(2n²-3n+4xn-6x)

5n(2n²+4xn-3n-6x)

5n(2n(n+2x)-3(n+2x))

5n(n+2x)(2n-3)

Answer 2

Answer:

$5n(2n-3)(n+2x)$

Step-by-step explanation:

Step 1:   Rewrite the expression so the GCF is factored completely

$10n^{3} - 15n^{2} + 20xn^{2} - 30xn$

The GCF is 5n so factor it out

$5n(2n^{2} - 3n + 4xn - 6x)$

Step 2:  Rewrite the expression completely factored

$5n(2n^{2} - 3n + 4xn - 6x)$

$5n(2n(n+2x)-3(n+2x))$

$5n(2n-3)(n+2x)$

Answer:  $5n(2n-3)(n+2x)$