Question

因式分解：x的5次方-2x³y²+x*y的4次方

摆脱，各位，要好好答，我会加分的~
谢啦

Answer 1

x的5次方-2x³y²+x*y的4次方
=x(x的4次方-2x²y²+y的4次方圆侍)
=x(x²-y²)²
=x[(x+y)(x-y)]²
=x(x+y)²轮搭(x-y)²橘桐吵

Answer 2

x的喊枝5次方-2x³告悔y²袜渗正+x*y的4次方=X(X^4-2X^2*Y^2+Y^4)=X(X^2-y^2)^2=X(X+Y)^2(X-Y)^2

Answer 3

x^5-2x^3y^2+xy^4
=x(x^4-2x^2y^2+y^4)
=x(x^2-y^2)^2
=x(x+y)^2(x-y)^2

Answer 4

=x﹙x4-2x2y2+y4﹚
=x﹙x2-y2﹚2
=x﹙x-y﹚2﹙x+y﹚2

Answer 5

x^5-2x^3y^2+xy^4
=x（x^4-2x²y²+y^4）拿脊
=x（x²-y²）樱旅²
=x（消颂渗x+y）²（x-y）²