What is the simplified form of ( (x+4)(x-6)+(x-4)(x+6) )?
Answer and explanation
Correct answer: \(2x^2-48\)
Expand each product: \((x+4)(x-6)=x^2-2x-24\) and \((x-4)(x+6)=x^2+2x-24\). On adding, the \(-2x\) and \(+2x\) terms cancel, giving \(2x^2-48\). In option B, the sign of the constant term is incorrect. Exam tip: after expanding, check the signs carefully before combining like terms.
Frequently asked questions
What is the correct answer to this question?
\(2x^2-48\)
Why is this the correct answer?
Expand each product: \((x+4)(x-6)=x^2-2x-24\) and \((x-4)(x+6)=x^2+2x-24\). On adding, the \(-2x\) and \(+2x\) terms cancel, giving \(2x^2-48\). In option B, the sign of the constant term is incorrect. Exam tip: after expanding, check the signs carefully 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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