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What is the expansion of the expression \(3(x+4)\)?

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Answer and explanation

Correct answer: \(3x+12\)

Using the distributive law, multiply the outside factor 3 by each term inside the bracket: \(3(x+4)=3\times x+3\times4=3x+12\). Therefore, option B is correct. Option C incorrectly omits the factor 3 from the first term. Exam tip: multiply the number outside the bracket by every term inside it.

Related tags

PolynomialsDistributive LawAlgebraic Expansion

Frequently asked questions

What is the correct answer to this question?

\(3x+12\)

Why is this the correct answer?

Using the distributive law, multiply the outside factor 3 by each term inside the bracket: \(3(x+4)=3\times x+3\times4=3x+12\). Therefore, option B is correct. Option C incorrectly omits the factor 3 from the first term. Exam tip: multiply the number outside the bracket by every term inside it.

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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