Question

因式分解

2x²-6x
x²-9y²
x³-2x²y+xy²
详细解释

Answer 1

①提取公因式2x：2x（x-3）
②平方差公式a²-b²=(a+b)(a-b)： =(x+3y)(x-3y)
③提取公因式，完全平方公式=x(x²-2xy+y²)
=x(x-y)²

Answer 2

2x²-6x
=2x(x-3)

x²-9y²
=x²-(3y)²
=(x+3y)(x-3y)

x³-2x²y+xy²
=x(x²-2xy+y²)
=x(x-y)²

祝学习进步，望采纳~~

Answer 3

2x²-6x=2x(x-3)
x²-9y²=(x+3y)(x-3y)
x³-2x²y+xy²=x(x²-2xy+y²)=x(x-y)²

Answer 4

2x²-6x=2x(x-3)
x²-9y²=(x+3y)(x-3y)
x³-2x²y+xy²
=x(x²-2xy+y²)
=x(x-y)²