If an expression is a difference of two squares, \,\(a^2-b^2\), in which form is it factorised?
Answer and explanation
Correct answer: \((a-b)(a+b)\)
A difference of squares has the form \(a^2-b^2\). Using \(a^2-b^2=(a-b)(a+b)\), its factors are binomials with opposite signs. Exam tip: first check that both terms are perfect squares.
Frequently asked questions
What is the correct answer to this question?
\((a-b)(a+b)\)
Why is this the correct answer?
A difference of squares has the form \(a^2-b^2\). Using \(a^2-b^2=(a-b)(a+b)\), its factors are binomials with opposite signs. Exam tip: first check that both terms are perfect squares.
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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