5.49
c) 16x^3 + 16x^2 - 4x - 4 =
= 16x^2(x + 1) -4(x + 1) =
(16x^2 - 4)(x + 1)
5.50
a) x^3 - 3x + 2 =
= x^3 - x - 2x + 2 =
= x(x^2 - 1) - 2(x - 1) =
= x(x-1)(x+1) -2(x-1) =
= (x-1)(x^2+x-2) =
= (x-1)(x-1)(x+2) =
= (x-1)^2 * (x+2)
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5.49
c) 16x^3 + 16x^2 - 4x - 4 =
= 16x^2(x + 1) -4(x + 1) =
(16x^2 - 4)(x + 1)
5.50
a) x^3 - 3x + 2 =
= x^3 - x - 2x + 2 =
= x(x^2 - 1) - 2(x - 1) =
= x(x-1)(x+1) -2(x-1) =
= (x-1)(x^2+x-2) =
= (x-1)(x-1)(x+2) =
= (x-1)^2 * (x+2)