Question
Subtract: $a^2-3 a b-6 b^2$ from $2 b^2-a^2+2 a b$
✓
Answer
$a^2 - 3ab - 6b^2 from 2b^2 - a^2 + 2ab$
$= (2b^2 - a^2 + 2ab) - (a^2 - 3ab - 6b^2)$
$= 2b^2 - a^2 + 2ab - a^2 + 3ab + 6b^2$
$= - a^2 + a^2 + 2b^2 + 6b^2 + 2ab + 3ab$
$= - 2a^2 + 8b^2 + 5ab$
$= 8b^2 + 5ab - 2a^2$
$= (2b^2 - a^2 + 2ab) - (a^2 - 3ab - 6b^2)$
$= 2b^2 - a^2 + 2ab - a^2 + 3ab + 6b^2$
$= - a^2 + a^2 + 2b^2 + 6b^2 + 2ab + 3ab$
$= - 2a^2 + 8b^2 + 5ab$
$= 8b^2 + 5ab - 2a^2$
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