(x^2+2x)^2-1因式分解

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(x^2+2x)^2-1因式分解
(x^2+2x)^2-1因式分解

(x^2+2x)^2-1因式分解
你好,惊儚
(x²+2x)²-1
=(x²+2x+1)(x²+2x-1)
=(x+1)²(x²+2x-1)

=X^4+4X^3+4X^2-1

(x+1)^2(x^2+2x-1)

(x^2+2x)^2-1
=(x^2+2x)^2-1^2
=(x^2+2x+1)(x^2+2x-1)
=(x+1)^2(x^2+2x-1)

=(x^2+2x-1)*(x^2+2x+1)
=[(x+1)^2-2]*(x+1)^2
=(x+1)^4-2(x+1)^2