Question

simplifique as expressoes: 2xy +(2x-y)-(x-y)^2
b) (ab+2)^2-(ab-2)^2

Answer 1

a)
Temos,
$2xy+(2x-y)-(x-y)^{2}$

Resolvendo,
$2xy+2x-y-(x-y)^{2}$
$2xy+2x-y-(x^{2}-2xy+y^{2})$
$2xy+2x-y-x^{2}+2xy-y^{2}$
$-x^{2}+4xy+2x-y^{2}-y$
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b)
$(ab+2)^{2}-(ab-2)^{2}$
$(ab)^{2}+4ab+4-((ab)^{2}-4ab+4)$
$(ab)^{2}+4ab+4-(ab)^{2}+4ab-4$
$(ab)^{2}-(ab)^{2}+4ab+4ab+4-4$
$8ab$