Question

Sendo A e B números reais Taís que a . b # 0 simplifique as expressões a seguir. POR FAVOR

b)a^-2 - b^-2

c)(a^-1)^2 + (b^2)^-1 + 2(ab)^-1​

Answer 1

Resposta:

$b)\\a^{-2}-b^{-2}=\frac{1}{a^{2} } -\frac{1}{b^{2} } =\frac{b^{2}-a^{2}}{a^{2} b^{2} } \\\\c)\\(a^{-1})^{2}+(b^{2})^{-1}+2(ab)^{-1}=a^{-2}+b^{-2}+2(ab)^{-1}=\frac{1}{a^{2}}+\frac{1}{b^{2}} +\frac{2}{ab} =\\\\\frac{b^{2}+a^{2}+2ab}{a^{2}b^{2}} =\frac{(a+b)^{2}}{a^{2}b^{2}}$