What is obtained after simplifying (7xy-2x+5xy+3x)?
Answer and explanation
Correct answer: \(12xy+x\)
The terms \(7xy\) and \(5xy\) are like terms, so their sum is \(12xy\). Similarly, \(-2x+3x=x\). Therefore, the simplified expression is \(12xy+x\). \(12x+y\) is incorrect because an \(xy\) term cannot be split into separate \(x\) and \(y\) terms. Exam tip: Add or subtract only terms with identical variable parts and powers.
Frequently asked questions
What is the correct answer to this question?
\(12xy+x\)
Why is this the correct answer?
The terms \(7xy\) and \(5xy\) are like terms, so their sum is \(12xy\). Similarly, \(-2x+3x=x\). Therefore, the simplified expression is \(12xy+x\). \(12x+y\) is incorrect because an \(xy\) term cannot be split into separate \(x\) and \(y\) terms. Exam tip: Add or subtract only terms with identical variable parts and powers.
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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