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Which of the following expressions is a perfect-square trinomial and can therefore be written as the product of two identical binomials?
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Answer and explanation
Correct answer: \(x^2+10x+25\)
\(x^2+10x+25=x^2+2\cdot x\cdot5+5^2\), so it equals \((x+5)^2\). Option D is also a square pattern, but its negative middle term gives \((x-5)^2\). Exam tip: always check the sign of the middle term.
Frequently asked questions
What is the correct answer to this question?
\(x^2+10x+25\)
Why is this the correct answer?
\(x^2+10x+25=x^2+2\cdot x\cdot5+5^2\), so it equals \((x+5)^2\). Option D is also a square pattern, but its negative middle term gives \((x-5)^2\). Exam tip: always check the sign of the middle term.
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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