Question

Pls help

An expression is shown below:


6x2y − 3xy − 24xy2 + 12y2


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

Answer:

$- 39xy + 12 {y}^{2}$

Step-by-step explanation:

1) Simplify 6x × 2y to to 12xy.

$12xy - 3xy - 24xy \times 2 + 12 {y}^{2}$

2) Simplify 24xy × 2 to 48xy.

$12xy - 3xy - 48xy + 12 {y}^{2}$

3) Collect like terms.

$(12xy - 3xy - 48xy) + 12 {y}^{2}$

4) Simplify.

$- 39xy + 12 {y}^{2}$

Thus, The answer is -39xy + 12y².

Answer 2

The factored form of the expression is 3y(x-4y)(2x-1)

Factoring of expression

The greatest common factor is the term that can divide all the terms of an expression.

Given the expression:

6x^2y − 3xy − 24xy^2 + 12y^2

Factor out the GCF to have:

3xy(2x - 1) - 12y^2(2x - 1)

Group the GCF and the expression in parenthesis to have:

(3xy-12y^2)(2x-1)

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

Hence the factored form of the expression is 3y(x-4y)(2x-1)

Learn more on factoring here: https://brainly.com/question/24734894