帮我做几个初2数学题.因式分解.
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帮我做几个初2数学题.因式分解.
1:(2x+y)平方-(x+2y)平方
2:4x平方(x-y)平方-6xy平方(y-x)
3:x平方-y平方+x+y
1:(2x+y)平方-(x+2y)平方
2:4x平方(x-y)平方-6xy平方(y-x)
3:x平方-y平方+x+y
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1:(2x+y)^2-(x+2y)^2
= (2x+y+x+2y)(2x+y-x-2y)
=(3x+3y)(x-y)
=3(x+y)(x-y)
2:4x^2(x-y)^2-6xy^2(y-x)
=(x-y)(4x^2 +6xy^2)
=2x(x-y)(2x+3y^2)
3:x^2-y^2+x+y
=(x+y)(x-y)+(x+y)
=(x+y)(x-y+1)
= (2x+y+x+2y)(2x+y-x-2y)
=(3x+3y)(x-y)
=3(x+y)(x-y)
2:4x^2(x-y)^2-6xy^2(y-x)
=(x-y)(4x^2 +6xy^2)
=2x(x-y)(2x+3y^2)
3:x^2-y^2+x+y
=(x+y)(x-y)+(x+y)
=(x+y)(x-y+1)