An expression is shown below: 2x3y 18xy − 10x2y − 90y part a: rewrite the expression so that the gcf is factored completely. part b: rewrite the expression completely factored. show the steps of your work.

A) 2y * (x³ + 9x − 5x² − 45)

B) 2y * (x² + 9) * (x -5)

Step-by-step explanation:

Given the expression:

2x³y + 18xy − 10x²y − 90y

A) The Greatest Common Factor (GFC) is 2y. Then, the expression can be rewritten as follows:

2y * (x³ + 9x − 5x² − 45)

B) Continue with the parenthesis term of the previous expression, we can split it into two groups:

x³ − 5x² = x² * (x -5)

9x − 45 = 9 * (x - 5)

Therefore,

2y * (x³ + 9x − 5x² − 45) =

= 2y * [x² * (x -5) + 9 * (x - 5)] =

= 2y * (x² + 9) * (x -5)

360 different combinations

no problobm

step-by-step explanation: