What is the simplified form of ((2m-n)^2-(m+n)^2)?
Answer and explanation
Correct answer: (,3m^2-6mn,)
On expansion, ((2m-n)^2=4m^2-4mn+n^2) and ((m+n)^2=m^2+2mn+n^2), so the difference is (3m^2-6mn). In exams, check the signs carefully.
Frequently asked questions
What is the correct answer to this question?
(,3m^2-6mn,)
Why is this the correct answer?
On expansion, ((2m-n)^2=4m^2-4mn+n^2) and ((m+n)^2=m^2+2mn+n^2), so the difference is (3m^2-6mn). In exams, check the signs carefully.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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