Question
Simplify: $b\left(2 b-\frac{1}{b}\right)-2 b\left(b-\frac{1}{b}\right)$
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Answer
$\begin{aligned} & b\left(2 b-\frac{1}{b}\right)-2 b\left(b-\frac{1}{b}\right) \\ & =b \times 2 b-b \times \frac{1}{b}-2 b \times b+2 b \times \frac{1}{b} \\ & =2 b^2-1-2 b^2+2 \\ & =2 b^2-2 b^2-1+2 \\ & =1\end{aligned}$
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