因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x+1)(x+2)+1/4因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x+1)(x+2)+1/4
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![因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x+1)(x+2)+1/4因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x+1)(x+2)+1/4](/uploads/image/z/1739894-14-4.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%28x-y%29%5E2%2B4%28x%5E2-y%5E2%29%2B4%28x%2By%29%5E2+a%28x%5E2%2B2xy%2By%5E2%29-b%28x%5E2-y%5E2%29+%28x%2B1%29%28x%2B2%29%2B1%2F4%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%28x-y%29%5E2%2B4%28x%5E2-y%5E2%29%2B4%28x%2By%29%5E2+++++++++++++++++a%28x%5E2%2B2xy%2By%5E2%29-b%28x%5E2-y%5E2%29++++++++++++++++++++%28x%2B1%29%28x%2B2%29%2B1%2F4)
因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x+1)(x+2)+1/4因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x+1)(x+2)+1/4
因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x+1)(x+2)+1/4
因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x+1)(x+2)+1/4
因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x+1)(x+2)+1/4因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x+1)(x+2)+1/4
(x-y)^2+4(x^2-y^2)+4(x+y)^2=(3x+y)^2
a(x^2+2xy+y^2)-b(x^2-y^2)=(a-b)x^2+2axy+(a+b)y^2
(x+1)(x+2)+1/4=x^2+3x+9/4 =(X+3/2)^2
(x-y)^2+4(x^2-y^2)+4(x+y)^2
=x^2-2xy+y^2+4x^2-4y^2+4x^2+8xy+4y^2
=9x^2+6xy+y^2
=(3x+y)^2