What is the expansion of ( (m+4)(m+6) )?
Answer and explanation
Correct answer: \(m^2+10m+24\)
Using the distributive property, \((m+4)(m+6)=m^2+6m+4m+24=m^2+10m+24\). Hence, option A is correct. In option B, the middle-term coefficient and constant term are interchanged, while option C incorrectly adds \(6m+4m\). Exam tip: in \((m+a)(m+b)\), the middle term is \((a+b)m\) and the constant term is \(ab\).
Frequently asked questions
What is the correct answer to this question?
\(m^2+10m+24\)
Why is this the correct answer?
Using the distributive property, \((m+4)(m+6)=m^2+6m+4m+24=m^2+10m+24\). Hence, option A is correct. In option B, the middle-term coefficient and constant term are interchanged, while option C incorrectly adds \(6m+4m\). Exam tip: in \((m+a)(m+b)\), the middle term is \((a+b)m\) and the constant term is \(ab\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
