Question

因式分解1)2x³y—4x平方y平方+2xy³ 2）x4次方—2x平方y平方+y4次方 3）3m(x—y)+2(y—x)平方

过程
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Answer 1

1)2x³y—4x平方y平方+2xy³
=2xy(x²-2xy+y²)
=2xy(x-y)²
2）x4次方—2x平方y平方+y4次方
=(x²-y²)²
=(x+y)²(x-y)² 3）
3m(x—y)+2(y—x)平方
=3m(x-y)+2(x-y)²
=(x-y)[3m+2(x-y)]
=(x-y)(3m+2x-2y)

Answer 2

1)2x³y—4x平方y平方+2xy³
=2XY(X^2-2XY+Y^2)
=2XY(X-Y)^2

2）x4次方—2x平方y平方+y4次方
=(X^2-Y^2)^2
=(X+Y)^2(X-Y)^2

3）3m(x—y)+2(y—x)平方
=3m(X-Y)+2(X-Y)^2
=(X-Y)(3m+2X-2Y)

Answer 3

1)2x³y-4x²y²+2xy³=2xy(x²-2xy+y²)=2xy(x-y)²
2)x^4-2x²y²+y^4=(x²-y²)²=(x+y)²(x-y)²
3)3x(x-y)+2(y-x)²=(x-y)(3m+2x-2y)