What is obtained after simplifying (2ab+5a^2b-7ab+3a^2b)?
Answer and explanation
Correct answer: \(8a^2b-5ab\)
\(5a^2b\) and \(3a^2b\) are like terms, so they add to \(8a^2b\). Similarly, \(2ab-7ab=-5ab\). Therefore, the simplified expression is \(8a^2b-5ab\). \(10a^3b\) is incorrect because exponents are not added when terms are added or subtracted. Exam tip: combine only terms with identical variable parts and powers.
Frequently asked questions
What is the correct answer to this question?
\(8a^2b-5ab\)
Why is this the correct answer?
\(5a^2b\) and \(3a^2b\) are like terms, so they add to \(8a^2b\). Similarly, \(2ab-7ab=-5ab\). Therefore, the simplified expression is \(8a^2b-5ab\). \(10a^3b\) is incorrect because exponents are not added when terms are added or subtracted. Exam tip: combine 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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