百度作业网数学多项式因式分解1.(a-b)^3-(a-b) 2.x^2-2xy+y^2-9 3.(x^2+y^2)^2-4x^2y
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数学多项式因式分解
1.(a-b)^3-(a-b) 2.x^2-2xy+y^2-9 3.(x^2+y^2)^2-4x^2y^2 4.4m^2-(m+n)+2
1.(a-b)^3-(a-b) 2.x^2-2xy+y^2-9 3.(x^2+y^2)^2-4x^2y^2 4.4m^2-(m+n)+2
1.(a-b)³-(a-b)
=(a-b)[(a-b)²-1]
=(a-b)(a²+b-2ab-1)
=(a-b)(a²+b-2ab-1)
=(a-b)[(a-b)²-1]
=(a-b)(a-b+1)(a-b-1)
2.x²-2xy+y²-9
=(x-y)²-3²
=(x-y+3)(x-y-3).
3.(x²+y²)²-4x²y²
=(x²+y²)²-(2xy)²
=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²
4.4m²-(m+n)²
=(2m)²-(m+n)²
=(2m+m+n)(2m-m-n)
=(3m+n)(m-n).
=(a-b)[(a-b)²-1]
=(a-b)(a²+b-2ab-1)
=(a-b)(a²+b-2ab-1)
=(a-b)[(a-b)²-1]
=(a-b)(a-b+1)(a-b-1)
2.x²-2xy+y²-9
=(x-y)²-3²
=(x-y+3)(x-y-3).
3.(x²+y²)²-4x²y²
=(x²+y²)²-(2xy)²
=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²
4.4m²-(m+n)²
=(2m)²-(m+n)²
=(2m+m+n)(2m-m-n)
=(3m+n)(m-n).
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