因式分解:1)0.49(x+y)^2= 2)36分之1(m-n)^2= 3)已知x+y=5,求代数式x^2-y^2+10y的值
问题描述:
因式分解:1)0.49(x+y)^2= 2)36分之1(m-n)^2= 3)已知x+y=5,求代数式x^2-y^2+10y的值
答
1.0·49(x+y)²
=49(x+y)²/100
= 【 7/10(x+y)】²
2.1/36(m-n)²
=[1/6(m-n)]²
3 .x²-y²+10y
=(x+y)(x-y)+10y
将x+y=5代入上式有
(x+y)(x-y)+10y
=5(x-y)+10y
=5x-5y+10y
=5(x+y)
=5×5
=25