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#
Factor: 4y(3x + 2) − 2(3x + 2)

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A
(4y − 2)(3x + 2)

4y(3x + 2) − 2(3x + 2)

= (3x + 2)[4y − 2] .

Notice that distributing (3x + 2) through [4y − 2] yields the original expression; this verifies the answer.

Explaination

Any part of an expression that is common to every term in the expression can be factored out. In this case, (3x + 2) is a common term and can be factored out from both parts of the expression: 4y(3x + 2) − 2(3x + 2)

= (3x + 2)[4y − 2] .

Notice that distributing (3x + 2) through [4y − 2] yields the original expression; this verifies the answer.

B (3x − 2)(4y + 2)

C (4y + 2)(6x)

D (3x + 2)(4y + 2)

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