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Question:

Factor: 4y(3x + 2) − 2(3x + 2)

A (4y − 2)(3x + 2)
explanation

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.