What will be the expanded form of ((p-2)(p+7))?
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Answer and explanation
Correct answer: \(p^2+5p-14\)
Using the distributive property, \((p-2)(p+7)=p^2+7p-2p-14=p^2+5p-14\). Hence, option D is correct. In option A, the sign of the middle term is incorrect because \(7p-2p=5p\), not \(-5p\). Exam tip: multiply each term of one binomial by both terms of the other, then combine like terms.
Frequently asked questions
What is the correct answer to this question?
\(p^2+5p-14\)
Why is this the correct answer?
Using the distributive property, \((p-2)(p+7)=p^2+7p-2p-14=p^2+5p-14\). Hence, option D is correct. In option A, the sign of the middle term is incorrect because \(7p-2p=5p\), not \(-5p\). Exam tip: multiply each term of one binomial by both terms of the other, then combine like terms.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Quadratic expressions.
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