(4x + 5)(3x - 7)
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While it is possible to factor 3x2 from both of these and get 3x2(4 - 1), it's a lot easier to subtract 3x2 from 12x2 and get 9x2
4x2(4x3 + 3)
12x ^2 -32x-12
(x + 7)(2x - 1)
x4 - 4x3 - 12x2 -32x + 64 (x - 4)(x + 2)(x + 2)(x - 4)