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Question
What should be subtracted from –7mn + 2m2 + 3n2 to get m2 + 2mn + n2?
Solution
In order to get solution, we will subtract m2 + 2mn + n2 from –7mn + 2m2 + 3n2
Required expression is –7mn + 2m2 + 3n2 – (m2 + 2mn + n2) = –7mn + 2m2 + 3n2 – m2 – 2mn – n2
On combining the like terms,
= –7mn – 2mn + 2m2 – m2 + 3n2 – n2
= –9mn + m2 + 2n2
So, if we subtract m2 + 2n2 – 9mn from –7mn + 2m2 + 3n2, then we get m2 + 2mn + n2.
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