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What is the expansion of the linear expression 5(2x+1)?

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Answer and explanation

Correct answer: \(10x+5\)

Using the distributive law, \(5(2x+1)=5\times 2x+5\times 1=10x+5\). Therefore, option B is correct. In option A, the constant term has not been multiplied by 5. In an exam, remember to multiply the factor outside the brackets by every term inside them.

Related tags

PolynomialsDistributive PropertyAlgebraic Expressions

Frequently asked questions

What is the correct answer to this question?

\(10x+5\)

Why is this the correct answer?

Using the distributive law, \(5(2x+1)=5\times 2x+5\times 1=10x+5\). Therefore, option B is correct. In option A, the constant term has not been multiplied by 5. In an exam, remember to multiply the factor outside the brackets by every term inside them.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.

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