What is obtained by combining the (m^2) terms in (9m^2-3m^2+7m-2)?
Answer and explanation
Correct answer: \(6m^2\)
The like terms containing \(m^2\) are \(9m^2\) and \(-3m^2\). Adding their coefficients gives \(9-3=6\), so the result is \(6m^2\). The term \(7m\) cannot be combined with them because its power of \(m\) is 1, not 2. Exam tip: combine terms only when both the variable and its exponent are the same.
Frequently asked questions
What is the correct answer to this question?
\(6m^2\)
Why is this the correct answer?
The like terms containing \(m^2\) are \(9m^2\) and \(-3m^2\). Adding their coefficients gives \(9-3=6\), so the result is \(6m^2\). The term \(7m\) cannot be combined with them because its power of \(m\) is 1, not 2. Exam tip: combine terms only when both the variable and its exponent are 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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