
因式分解(x²+x-1)(x²x-7)+5 -3x^(n+2)+18x^(n+1)y-27x^ny² (a-b)x²+2ax+a+b
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(x²+x-1)(x²+x-7)+5
=(x²+x)²-8(x²+x)+12
=(x²+x-2)(x²+x-6)
=(x+2)(x-1)(x+3)(x-2)
-3x^(n+2)+18x^(n+1)y-27x^ny²
=-3x^n(x^2-6xy+9y^2)
=-3x^n(x-3y)^2
(a-b)x²+2ax+a+b
=ax²+2ax+a -bx²+b
=a(x+1)²-b(x+1)(x-1)
=(ax+a-bx+b)(x+1)
=(x²+x)²-8(x²+x)+12
=(x²+x-2)(x²+x-6)
=(x+2)(x-1)(x+3)(x-2)
-3x^(n+2)+18x^(n+1)y-27x^ny²
=-3x^n(x^2-6xy+9y^2)
=-3x^n(x-3y)^2
(a-b)x²+2ax+a+b
=ax²+2ax+a -bx²+b
=a(x+1)²-b(x+1)(x-1)
=(ax+a-bx+b)(x+1)
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