What is the perfect square form of ( 64x^2+80x+25 )?
Answer and explanation
Correct answer: \((8x+5)^2\)
The first term is \(64x^2=(8x)^2\) and the last term is \(25=5^2\). Their middle term is \(2\times 8x\times 5=80x\), so \(64x^2+80x+25=(8x+5)^2\). Option B would give a middle term of \(-80x\). Exam tip: always verify the middle term using \(a^2+2ab+b^2=(a+b)^2\).
Frequently asked questions
What is the correct answer to this question?
\((8x+5)^2\)
Why is this the correct answer?
The first term is \(64x^2=(8x)^2\) and the last term is \(25=5^2\). Their middle term is \(2\times 8x\times 5=80x\), so \(64x^2+80x+25=(8x+5)^2\). Option B would give a middle term of \(-80x\). Exam tip: always verify the middle term using \(a^2+2ab+b^2=(a+b)^2\).
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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