Question

An expression is shown below:

Answer 1

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

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

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

Answer 2

Answer:

[A] 2x³y + 8xy – 4x²y – 16y

• 2y(x³ + 4x – 2x² – 8)

[B] 2x³y + 8xy – 4x²y – 16y

• 2y(x³ – 2x² + 4x – 8)
• 2y{x²(x – 2) + 4(x – 2)}
• 2y(x² + 4)(x – 2)