What is obtained after simplifying (15xy-4x+6xy+9x)?
Answer and explanation
Correct answer: \(21xy+5x\)
Here, \(15xy\) and \(6xy\) are like terms, so their sum is \(21xy\). Similarly, \(-4x\) and \(9x\) are like terms and add to \(5x\). Therefore, the simplified expression is \(21xy+5x\). In option B, the sign while combining the \(x\)-terms is incorrect. Exam tip: Add or subtract only terms that have exactly the same variables with the same powers.
Frequently asked questions
What is the correct answer to this question?
\(21xy+5x\)
Why is this the correct answer?
Here, \(15xy\) and \(6xy\) are like terms, so their sum is \(21xy\). Similarly, \(-4x\) and \(9x\) are like terms and add to \(5x\). Therefore, the simplified expression is \(21xy+5x\). In option B, the sign while combining the \(x\)-terms is incorrect. Exam tip: Add or subtract only terms that have exactly the same variables with the same 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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