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Which expression represents adding four times a number (p) to its square?

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Answer and explanation

Correct answer: \(p^2+4p\)

The square of the number \(p\) is \(p^2\), and four times the number is \(4p\). Since the question asks to add four times the number to its square, the expression is \(p^2+4p\). Option B uses subtraction, while option D multiplies the entire sum by 4. Exam tip: For phrases such as “add to,” use \(+\) and write the square and the multiple separately first.

Related tags

Algebraic ExpressionsPolynomialsWord To ExpressionLinear TermsQuadratic Terms

Frequently asked questions

What is the correct answer to this question?

\(p^2+4p\)

Why is this the correct answer?

The square of the number \(p\) is \(p^2\), and four times the number is \(4p\). Since the question asks to add four times the number to its square, the expression is \(p^2+4p\). Option B uses subtraction, while option D multiplies the entire sum by 4. Exam tip: For phrases such as “add to,” use \(+\) and write the square and the multiple separately first.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.

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