已知x²+xy=25,xy+y²=35.①求(x+y)²的值.②求(x+y)(x-y)的值.
问题描述:
已知x²+xy=25,xy+y²=35.①求(x+y)²的值.②求(x+y)(x-y)的值.
答
1..(x^2+xy)+(xy+y^2)=(x+y)^2=25+35=60;
2..(x+y)(x-y)=x^2-y^2=25-35=-10