求(x^2-5x+6)(x^2+10x+24)-10x^2因式分解

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求(x^2-5x+6)(x^2+10x+24)-10x^2因式分解

求(x^2-5x+6)(x^2+10x+24)-10x^2因式分解
求(x^2-5x+6)(x^2+10x+24)-10x^2因式分解

求(x^2-5x+6)(x^2+10x+24)-10x^2因式分解
由(x²-5x+6)(x²+10x+24)-10x²
=(x-2)(x-3)(x+6)(x+4)-10x²
=(x²-12+4x)(x²-12+x)-10x²
=(x²-12)²+5x(x²-12)+4x²-10x²
=(x²-12)²+5x(x²-12)-6x²
=(x²-12+6x)(x²-12-x)
=(x²+6x-12)(x-4)(x+3).

(x^2-5x+6)(x^2+10x+24)-10x^2=(X-4)(x+3) (X^2+6x-12)

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