Question

An expression is shown below:

2x^3y + 8xy − 4x^2y − 16y

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

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

Answer 1

A. 2x³y + 8xy - 4x²y - 16y

= 2y(x³ + 4x - 4x² - 16)

B. 2y(x³ + 4x - 4x² - 16)

= 2y(x(x² + 4) - 4(x² + 4))

= 2y(x - 4)(x² + 4)