Question
Subtract:
$-2 a^2-2 b^2$ from $-a^2-b^2+2 a b$.
$-2 a^2-2 b^2$ from $-a^2-b^2+2 a b$.
✓
Answer
We have,
$\left(-a^2-b^2+2 a b\right)-\left(-2 a^2-2 b^2\right)$
$=-a^2-b^2+2 a b+2 a^2+2 b^2$
On combining the like terms.
$=-a^2+2 a^2-b^2+2 b^2+2 a b$
$=a^2+b^2+2 a b$
$\left(-a^2-b^2+2 a b\right)-\left(-2 a^2-2 b^2\right)$
$=-a^2-b^2+2 a b+2 a^2+2 b^2$
On combining the like terms.
$=-a^2+2 a^2-b^2+2 b^2+2 a b$
$=a^2+b^2+2 a b$
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