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

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)