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b. 12x³+4x²+9x+3 = 4x² (3x+1) + 3 (3x+1) = (4x²+3)(3x+1)
c. m²+mn-5m-5n = m (m+n)-5(m+n) = (m-5)(m+n)
d. 6by-15bx-4ay+10ax = 3b(2y-5x)-2a(2y-5x) = (3b-2a)(2y-5x)
e. x³-7x²-3x+21 = x²(x-7)-3(x-7) = (x²-3)(x-7)
f. x³+x²+4x+4 = x²(x+1)+4(x+1) = (x²+4)(x+1)
g. x³-x²-x+1 = x²(x-1)-1(x-1) = (x²-1)(x-1)
h. x³(2x-7)-2x²+7x-6(2x-7) = x³(2x-7)-x (2x-7)-6(2x-7) =
(x³-x-6)(2x-7)