Question

Determine o valor da expressão abaixo sabendo que a²+b²=12 e ab=1​

Answer 1

$\Large\boxed{\begin{array}{l}\begin{cases}\sf a^2+b^2=12\\\sf ab=1\\\sf E=?\end{cases}\\\sf E=\dfrac{a^3+b^3}{a+b}\\\\\sf E=\dfrac{\diagup\!\!\!\!(a+\diagup\!\!\!b)\cdot (a^2-ab+b^2)}{\diagup\!\!\!(a+\diagup\!\!\!\!b)}\\\\\sf E=a^2+b^2-ab\\\sf E=12-1\\\sf E=11\end{array}}$