(x的平方-1)(x+3)(x+5)+15因式分解

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(x的平方-1)(x+3)(x+5)+15因式分解(x的平方-1)(x+3)(x+5)+15因式分解(x的平方-1)(x+3)(x+5)+15因式分解=(x-1)(x+1)(x+3)(x+5)+15=

(x的平方-1)(x+3)(x+5)+15因式分解
(x的平方-1)(x+3)(x+5)+15
因式分解

(x的平方-1)(x+3)(x+5)+15因式分解
=(x-1)(x+1)(x+3)(x+5)+15
=(x-1)(x+5)(x+1)(x+3)+15
=(x²+4x-5)(x²+4x+3)+15
=(x²+4x)²-2(x²+4x)-15+15
=(x²+4x)²-2(x²+4x)
=(x²+4x)(x²+4x-2)

(x的平方-1)(x+3)(x+5)+15
=(x-1)(x+1)(x+3)(x+5)+15
=(x-1)(x+5)[(x+1)(x+3)]+15
=(x²+4x-5)(x²+4x+3)+15
=(x²+4x)²-(x²+4x)-15+15
=(x²+4x)²-(x²+4x)
=(x²+4x)(x²+4x-1)