Which option gives the correct simplified form of (4a^2b-7ab^2+3a^2b+2ab^2)?
Answer and explanation
Correct answer: \(7a^2b-5ab^2\)
\(4a^2b\) and \(3a^2b\) are like terms, so their sum is \(7a^2b\). Similarly, \(-7ab^2\) and \(2ab^2\) add to \(-5ab^2\). Therefore, the simplified expression is \(7a^2b-5ab^2\). In option C, the coefficients of \(a^2b\) have not been added correctly. Exam tip: combine only terms that have exactly the same variables with the same powers.
Frequently asked questions
What is the correct answer to this question?
\(7a^2b-5ab^2\)
Why is this the correct answer?
\(4a^2b\) and \(3a^2b\) are like terms, so their sum is \(7a^2b\). Similarly, \(-7ab^2\) and \(2ab^2\) add to \(-5ab^2\). Therefore, the simplified expression is \(7a^2b-5ab^2\). In option C, the coefficients of \(a^2b\) have not been added correctly. Exam tip: combine 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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