What is the expansion of ( (m-6)(m+2) )?
Answer and explanation
Correct answer: \(m^2-4m-12\)
Using the distributive property, \(m(m+2)-6(m+2)=m^2+2m-6m-12=m^2-4m-12\). Hence, option A is correct. In option B, the like terms \(2m-6m\) have been combined with the wrong sign to get \(+4m\). Exam tip: while multiplying two binomials, write all four products first and then combine like terms.
Frequently asked questions
What is the correct answer to this question?
\(m^2-4m-12\)
Why is this the correct answer?
Using the distributive property, \(m(m+2)-6(m+2)=m^2+2m-6m-12=m^2-4m-12\). Hence, option A is correct. In option B, the like terms \(2m-6m\) have been combined with the wrong sign to get \(+4m\). Exam tip: while multiplying two binomials, write all four products first and then combine like terms.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
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