已知x=√3+1,y=√3-1,求:X^2+2xy+y^2

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 12:18:32
已知x=√3+1,y=√3-1,求:X^2+2xy+y^2已知x=√3+1,y=√3-1,求:X^2+2xy+y^2已知x=√3+1,y=√3-1,求:X^2+2xy+y^2x^2+2xy+y^2=(

已知x=√3+1,y=√3-1,求:X^2+2xy+y^2
已知x=√3+1,y=√3-1,求:
X^2+2xy+y^2

已知x=√3+1,y=√3-1,求:X^2+2xy+y^2
x^2+2xy+y^2
=(x+y)^2
代入x=√3+1,y=√3-1
(x+y)^2
=(√3+1+√3-1)^2
=(2√3)^2
=12

X^2+2xy+y^2=(√3+1)^2+2(√3+1)(√3-1)+(√3-1)^2
=4+2√3+4+4-2√3=12

x^2+2xy+y^2=(x+y)^2=12