Question
Simplify: $\mathrm{p}^2-\left[\mathrm{x}^2-\left\{\mathrm{x}^2-\left(\mathrm{q}^2-\overline{\mathrm{x}^2-\mathrm{q}^2}\right)-2 \mathrm{y}^2\right\}\right]$
✓
Answer
$\begin{aligned} & p^2-\left[x^2-\left\{x^2-\left(q^2-\overline{x^2-q^2}\right)-2 y^2\right\}\right] \\ & =p^2-\left[x^2-\left\{x^2-\left(q^2-x^2+q^2\right)-2 y^2\right\}\right] \\ & =p^2-\left[x^2-\left\{x^2-\left(2 q^2-x^2\right)-2 y^2\right\}\right] \\ & =p^2-\left[x^2-\left\{x^2-2 q^2+x^2-2 y^2\right\}\right] \\ & =p^2-x^2+2 x^2-2 q^2-2 y^2 \\ & =p^2+x^2-2 q^2-2 y^2\end{aligned}$
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