因式分解(x的平方+2x-3)(x的平方+2x-24)+90

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因式分解(x的平方+2x-3)(x的平方+2x-24)+90
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因式分解(x的平方+2x-3)(x的平方+2x-24)+90
因式分解(x的平方+2x-3)(x的平方+2x-24)+90

因式分解(x的平方+2x-3)(x的平方+2x-24)+90
=(x²+2x-3)[(x²+2x-3)-21]+90
=(x²+2x-3)²-21(x²+2x-3)+90
=[(x²+2x-3)-6][(x²+2x-3)-15]
=(x²+2x-9)(x²+2x-18)

令a=x²+2x
原式=(a-3)(a-24)+90
=a²-27a+72+90
=a²-27a+162
=(a-18)(a-9)
=(x²+2x-18)(x²+2x-9)