A teacher has a box of crayons that contains 6
red, 6 blue, 6 green and 6 purple crayons.
Heather picks a crayon out of the box and does
not replace it. She then picks a second crayon.
What is the probability that the first crayon is
purple and the second crayon is purple?

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)