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Which of the following expressions is a perfect-square trinomial that can be written as the product of two identical binomial factors?
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Answer and explanation
Correct answer: \(x^2+10x+25\)
In \(x^2+10x+25\), the end terms are \(x^2\) and \(5^2\), and the middle term is \(2\cdot x\cdot5\). Hence it equals \((x+5)^2\). In \(x^2+10x+20\), 20 is not \(5^2\). Exam tip: always verify the middle term using \(2ab\).
Frequently asked questions
What is the correct answer to this question?
\(x^2+10x+25\)
Why is this the correct answer?
In \(x^2+10x+25\), the end terms are \(x^2\) and \(5^2\), and the middle term is \(2\cdot x\cdot5\). Hence it equals \((x+5)^2\). In \(x^2+10x+20\), 20 is not \(5^2\). Exam tip: always verify the middle term using \(2ab\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Factorisation.
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