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mufi: x3 * (x2+2)2 −9x
13 mar 14:38
mufi: help..
13 mar 14:51
Godzio:
x3 * (x2 + 2)2 − 9x = x( x2(x2 + 2)2 − 9) = x( (x3 + 2x)2 − 9) =
= x(x3 + 2x − 3)(x3 + 2x + 3) = (*)
x3 + 2x − 3 = x3 − x + 3x − 3 = x(x2 − 1) + 3(x − 1) = (x − 1)(x2 + x + 3)
x3 + 2x + 3 = x3 − x + 3x + 3 = x(x2 − 1) + 3(x + 1) = (x + 1)(x2 − x + 3)
(*) = x(x − 1)(x2 + x + 3)(x + 1)(x2 − x + 3)
13 mar 15:03