What is obtained after simplifying (4x^2-6xy+3x^2+xy)?
Answer and explanation
Correct answer: \(7x^2-5xy\)
\(4x^2\) and \(3x^2\) are like terms, so they add to \(7x^2\). Similarly, \(-6xy\) and \(+xy\) are like terms, giving \(-6xy+xy=-5xy\). Hence, the simplified expression is \(7x^2-5xy\). \(12x^2-5xy\) is incorrect because \(4+3=7\), not 12. Exam tip: combine only terms with identical variable parts and exponents.
Frequently asked questions
What is the correct answer to this question?
\(7x^2-5xy\)
Why is this the correct answer?
\(4x^2\) and \(3x^2\) are like terms, so they add to \(7x^2\). Similarly, \(-6xy\) and \(+xy\) are like terms, giving \(-6xy+xy=-5xy\). Hence, the simplified expression is \(7x^2-5xy\). \(12x^2-5xy\) is incorrect because \(4+3=7\), not 12. Exam tip: combine only terms with identical variable parts and exponents.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.
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