Question

Simplifica Q = 4 ( x + y ) ² ( x − y )/ x² - y² ; x≠y , x≠-y​

Answer 1

Explicación paso a paso:

$\texttt{Recordando que:}\,(a+b)^{2}=(a+b)(a+b)\\\texttt{aplicando tambien el producto notable}\,a^{2}-b^{2}=(a+b)(a-b)\,\texttt{a}\\x^{2}-y^{2}\,\texttt{y simplificando nos queda:}\\x^{2}-y^{2}=(x+y)(x-y)\\\\Q=4(x+y)^{2}(x-y)\div x^{2}-y^{2}=\frac{4(x+y)^{2}(x-y)}{x^{2}-y^{2}}=\\\\=\frac{4(x+y)(x+y)(x-y)}{(x+y)(x-y)}=\boxed{4(x+y)}$