What will be the simplified form of ( (x+8)(x-8) )?
Answer and explanation
Correct answer: \(x^2-64\)
Use the identity \((a+b)(a-b)=a^2-b^2\), where \(a=x\) and \(b=8\). Thus, \((x+8)(x-8)=x^2-8^2=x^2-64\). Option A incorrectly uses a sum instead of a difference of squares. Exam tip: when two binomials have the same terms but opposite signs, apply the difference of squares identity.
Frequently asked questions
What is the correct answer to this question?
\(x^2-64\)
Why is this the correct answer?
Use the identity \((a+b)(a-b)=a^2-b^2\), where \(a=x\) and \(b=8\). Thus, \((x+8)(x-8)=x^2-8^2=x^2-64\). Option A incorrectly uses a sum instead of a difference of squares. Exam tip: when two binomials have the same terms but opposite signs, apply the difference of squares identity.
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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