运用平方差公式分解因式
问题描述：
运用平方差公式分解因式
1.x^2-9y^2
2.36-25x^2
3.x^2y-xy^2
4.mn^2-m
5 2x^3-8x
6.2x^3-8x
7.ax^2-ay^2
8.2x^3y-2xy^3
答
1. x^2-9y^2=(x-3y)(x+3y)
2. 36-25x^2=(6-5x)(6+5x)
3. x^2y-xy^2=xy(x-y)
4. mn^2-m=m(n²-1)=m(n-1)(n+1)
52x^3-8x=2x(x²-4)=2x(x-2)(x+2)
6. 2x^3-8x=2x(x²-4)=2x(x-2)(x+2)
7. ax^2-ay^2=a(x²-y²)=a(x-y)(x+y)
8.2x^3y-2xy^3=2xy(x²-y²)=2xy(x-y)(x+y)