An expression is shown below: 2x3y + 8xy − 4x2y − 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)

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2y is greatest common factor

Add and subtract the second term to the expression and factor by grouping.

2y(x−2)(x2+4) is the factor

Step-by-step explanation:

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

2y(x³+4x-2x²-8)

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

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

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