Question

(x+y)^2 . (x-y)^2=

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Answer 1

$(x+y)^{2}.(x-y)^{2} \\\\(x+y).(x+y).(x-y).(x-y)\\\\(x+y).(x-y).(x+y).(x-y)\\\\(x^{2}-y^{2} ).(x^{2}-y^{2})\\\\(x^{2}-y^{2} )^{2}\\\\x^{4}-2x^{2}y^{2}+y^{4}$

Answer 2

Resposta:

$(x+y)^2.(x-y)^2=\\ \\ .[(x+y)(x-y)]^2=\\ \\ .(x^2-y^2)^2=\\ \\ (x^2)^2-2.x^2.y^2+(y^2)^2=\\ \\ x^4-2x^2y^2+y^4$