Question

sendo f(x)=x², calcule e simplifique f(a+b ) - f(a-b)/ab  obs. (com ab diferente 0)

Answer 1

Olá, Mariistoll21.

$\frac{f(a+b)-f(a-b)}{ab}=\frac{(a+b)^2-(a-b)^2}{ab}=\frac{a^2+2ab+b^2-(a^2-2ab+b^2)}{ab}=\\\\ =\frac{\not a^2+2ab+\not b^2-\not a^2+2ab-\not b^2}{ab}=\frac{4ab}{ab}=\\\\ =\boxed{4}$