初一数学 因式分解
(x^2-2x)(x^2-2x-2)-3(a^2+3a-3)(a^2+3a+1)-5(x^2-3x)^2-8(x^2-3x)+16...
(x^2-2x)(x^2-2x-2)-3
(a^2+3a-3)(a^2+3a+1)-5
(x^2-3x)^2-8(x^2-3x)+16 展开
(a^2+3a-3)(a^2+3a+1)-5
(x^2-3x)^2-8(x^2-3x)+16 展开
1个回答
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1.(x^2-2x)(x^2-2x-2)-3
=(x^2-2x)^2-2(x^2-2x)-3
=(x^2-2x-3)(x^2-2x+1)
=(x-3)(x+1)(x-1)^2
2.(a^2+3a-3)(a^2+3a+1)-5
=(a^2+3a)^2-2(a^2+3a)-8
=(a^2+3a-4)(a^2+3a+2)
=(a+4)(a-1)(a+1)(a+2)
3.(x^2-3x)^2-8(x^2-3x)+16
=(x^2-3x-4)^2
=(x-4)^2(x+1)^2
=(x^2-2x)^2-2(x^2-2x)-3
=(x^2-2x-3)(x^2-2x+1)
=(x-3)(x+1)(x-1)^2
2.(a^2+3a-3)(a^2+3a+1)-5
=(a^2+3a)^2-2(a^2+3a)-8
=(a^2+3a-4)(a^2+3a+2)
=(a+4)(a-1)(a+1)(a+2)
3.(x^2-3x)^2-8(x^2-3x)+16
=(x^2-3x-4)^2
=(x-4)^2(x+1)^2
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