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Which of the following trinomials is a perfect-square trinomial and can be written as the product of two identical binomials?
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Answer and explanation
Correct answer: \(x^2+10x+25\)
In \(x^2+10x+25\), \(25=5^2\) and the middle term is \(2\cdot x\cdot5=10x\). Hence it is \((x+5)^2\). The expression ending in 20 does not fit this pattern. Exam tip: verify \(b^2=4ac\).
Frequently asked questions
What is the correct answer to this question?
\(x^2+10x+25\)
Why is this the correct answer?
In \(x^2+10x+25\), \(25=5^2\) and the middle term is \(2\cdot x\cdot5=10x\). Hence it is \((x+5)^2\). The expression ending in 20 does not fit this pattern. Exam tip: verify \(b^2=4ac\).
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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