6xy + 3y – 4x – 2
3y(2x + 1) - 2(2x + 1)
(3y - 2)(2x + 1)
6xy + 3y - 4x - 2
group in pairs
(6xy + 3y) - (4x + 2) careful with the signs
factor out (2x+1) from each pair:
3y(2x+1) - 2(2x+1)
factor out the (2x+1)
(2x+1)(3y - 2)
=3y(2x+1)-2(2x+1)
=(3y-2)(2x+1)
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Verified answer
6xy + 3y – 4x – 2
3y(2x + 1) - 2(2x + 1)
(3y - 2)(2x + 1)
6xy + 3y - 4x - 2
group in pairs
(6xy + 3y) - (4x + 2) careful with the signs
factor out (2x+1) from each pair:
3y(2x+1) - 2(2x+1)
factor out the (2x+1)
(2x+1)(3y - 2)
6xy + 3y – 4x – 2
3y(2x + 1) - 2(2x + 1)
(3y - 2)(2x + 1)
=3y(2x+1)-2(2x+1)
=(3y-2)(2x+1)