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Which of the following expressions is identified as a difference of two perfect squares?
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Answer and explanation
Correct answer: \(9a^2-16b^2\)
\(9a^2=(3a)^2\) and \(16b^2=(4b)^2\), so \(9a^2-16b^2\) is a difference of perfect squares. \(9a^2+16b^2\) has a plus sign instead. Exam tip: check that both terms are squares and are separated by subtraction.
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What is the correct answer to this question?
\(9a^2-16b^2\)
Why is this the correct answer?
\(9a^2=(3a)^2\) and \(16b^2=(4b)^2\), so \(9a^2-16b^2\) is a difference of perfect squares. \(9a^2+16b^2\) has a plus sign instead. Exam tip: check that both terms are squares and are separated by subtraction.
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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