已知x=2-根号3,y=2+根号3,求下列代数式的值

(1)x^2+2xy+y^2.(2)x^2-y^2
2024-11-26 23:40:32
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回答1:

已知x=2-根号3,y=2+根号3,求下列代数式的值

(1)x^2+2xy+y^2
=(x+y)^2
=(2-√3)(2+√3)^2
=2^2
=4
(2)x^2-y^2
=(x+y)(x-y)
=(2-√3+2+√3)(2-√3-2-√3)
=4×(-2√3)
=-8√3