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Which of the following expressions can be factorised as a product of conjugate binomials?
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Answer and explanation
Correct answer: \(49x^2-(3y+2)^2\)
In option A, \(49x^2=(7x)^2\), so it has the form \((7x)^2-(3y+2)^2\), a difference of squares. Hence its factors are \((7x-3y-2)(7x+3y+2)\). Exam tip: first identify whether both terms are perfect squares with a minus sign.
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What is the correct answer to this question?
\(49x^2-(3y+2)^2\)
Why is this the correct answer?
In option A, \(49x^2=(7x)^2\), so it has the form \((7x)^2-(3y+2)^2\), a difference of squares. Hence its factors are \((7x-3y-2)(7x+3y+2)\). Exam tip: first identify whether both terms are perfect squares with a minus sign.
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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