What is obtained after simplifying (8a^2b-3a^2b+4ab)?
Answer and explanation
Correct answer: \(5a^2b+4ab\)
\(8a^2b\) and \(-3a^2b\) are like terms because both have \(a\) raised to 2 and \(b\) raised to 1. Adding their coefficients gives \(8-3=5\), so they combine to form \(5a^2b\). The term \(4ab\) is not like \(a^2b\), since the power of \(a\) is 1, so it remains separate. Hence, the simplified expression is \(5a^2b+4ab\). Exam tip: combine coefficients only when the variables and all their exponents are exactly the same.
Frequently asked questions
What is the correct answer to this question?
\(5a^2b+4ab\)
Why is this the correct answer?
\(8a^2b\) and \(-3a^2b\) are like terms because both have \(a\) raised to 2 and \(b\) raised to 1. Adding their coefficients gives \(8-3=5\), so they combine to form \(5a^2b\). The term \(4ab\) is not like \(a^2b\), since the power of \(a\) is 1, so it remains separate. Hence, the simplified expression is \(5a^2b+4ab\). Exam tip: combine coefficients only when the variables and all their exponents are exactly the same.
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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