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What is the simplified form of ( (x+5)(x-3)+(x-5)(x+3) )?
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Answer and explanation
Correct answer: \(2x^2-30\)
\((x+5)(x-3)=x^2+2x-15\) and \((x-5)(x+3)=x^2-2x-15\). On adding, \(+2x\) and \(-2x\) cancel, giving \(2x^2-30\). \(2x^2+30\) results from incorrectly adding the constant terms. Exam tip: expand each product separately before combining like terms.
Frequently asked questions
What is the correct answer to this question?
\(2x^2-30\)
Why is this the correct answer?
\((x+5)(x-3)=x^2+2x-15\) and \((x-5)(x+3)=x^2-2x-15\). On adding, \(+2x\) and \(-2x\) cancel, giving \(2x^2-30\). \(2x^2+30\) results from incorrectly adding the constant terms. Exam tip: expand each product separately before combining like terms.
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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