Toán Lớp 7: chứng minh : ( x^2+y^2)-(2xy)^2=(x+y)^2*(x-y)^2
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Toán Lớp 7: chứng minh : ( x^2+y^2)-(2xy)^2=(x+y)^2*(x-y)^2
Comments ( 2 )
Ta có:
VP=(x+y)^2.(x-y)^2
VP=[(x+y)(x-y)]^2
VP=[x^2-y^2]^2
VP=x^4-2x^2y^2+y^4
VP=(x^2)^2+2x^2y^2+(y^2)^2-4x^2y^2
VP=(x^2+y^2)^2-(2xy)^2=VT(ĐPCM)