What is the correct simplified result of ( (x+2)(x+3) )?
Answer and explanation
Correct answer: \(x^2+5x+6\)
Using the distributive property, \((x+2)(x+3)=x(x+3)+2(x+3)=x^2+3x+2x+6=x^2+5x+6\). Therefore, \(x^2+5x+6\) is correct. In option A, the constant term is incorrectly written as 5 instead of \(2\times3=6\). Exam tip: in \((x+a)(x+b)=x^2+(a+b)x+ab\), the middle coefficient is the sum of the constants and the final term is their product.
Frequently asked questions
What is the correct answer to this question?
\(x^2+5x+6\)
Why is this the correct answer?
Using the distributive property, \((x+2)(x+3)=x(x+3)+2(x+3)=x^2+3x+2x+6=x^2+5x+6\). Therefore, \(x^2+5x+6\) is correct. In option A, the constant term is incorrectly written as 5 instead of \(2\times3=6\). Exam tip: in \((x+a)(x+b)=x^2+(a+b)x+ab\), the middle coefficient is the sum of the constants and the final term is their product.
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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