Question

PLEASE HELP ME

An expression is shown below:

6x^2y − 3xy − 24xy^2 + 12y^2

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

9514 1404 393

Answer:

• (3y)(2x^2 -1x -8xy +4y)
• (3y)(x -4y)(2x -1)

Explanation:

Part A: All of the coefficients have a common factor of 3. All of the variable products have a common factor of y, so the greatest common factor of all terms is 3y. The expression can be written as ...

(3y)(2x^2 -1x -8xy +4y)

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Part B: The remaining factor can be factored pairwise:

3y(x(2x -1) -4y(2x -1)) = 3y(x -4y)(2x -1)