Question
What should be subtracted from $-7 m n+2 m^2+3 n^2$ to get $m^2+2 m n+n^2$?
✓
Answer
In order to get solution we will subtract $m^2+2 m n+n^2$ from $-7 m n+2 m^2+3 n^2$
Required expression is.
$-7 m n+2 m^2+3 n^2-\left(m^2+2 m n+n^2\right)$
$=-7 m n+2 m^2+3 n^2-m^2-2 m n-n^2$
On comibining the like terms.
$=-7 m n-2 m n+2 m^2-m^2+3 n^2-n^2$
$=-9 m n+m^2+2 n^2$
So, if we subract $m^2+2 n^2-9 m n$ from $-7 m n+2 m^2+3 n^2$
Then we get $m^2+2 m n+n^2$
Required expression is.
$-7 m n+2 m^2+3 n^2-\left(m^2+2 m n+n^2\right)$
$=-7 m n+2 m^2+3 n^2-m^2-2 m n-n^2$
On comibining the like terms.
$=-7 m n-2 m n+2 m^2-m^2+3 n^2-n^2$
$=-9 m n+m^2+2 n^2$
So, if we subract $m^2+2 n^2-9 m n$ from $-7 m n+2 m^2+3 n^2$
Then we get $m^2+2 m n+n^2$
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