What is obtained after simplifying (-3(x+4))?
Answer and explanation
Correct answer: \(-3x-12\)
Use the distributive property: multiply \(-3\) by each term inside the bracket. Thus, \((-3)\times x=-3x\) and \((-3)\times 4=-12\), so \(-3(x+4)=-3x-12\). In option B, the sign of the constant term is incorrect; multiplying \(-3\) by \(4\) gives \(-12\), not \(+12\). Exam tip: When multiplying by a negative number, check the sign of every term carefully.
Frequently asked questions
What is the correct answer to this question?
\(-3x-12\)
Why is this the correct answer?
Use the distributive property: multiply \(-3\) by each term inside the bracket. Thus, \((-3)\times x=-3x\) and \((-3)\times 4=-12\), so \(-3(x+4)=-3x-12\). In option B, the sign of the constant term is incorrect; multiplying \(-3\) by \(4\) gives \(-12\), not \(+12\). Exam tip: When multiplying by a negative number, check the sign of every term carefully.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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