What is obtained after simplifying (-4(x+3))?
Answer and explanation
Correct answer: \(-4x-12\)
Using the distributive property, multiply \(-4\) by each term inside the bracket: \(-4\times x=-4x\) and \(-4\times 3=-12\). Therefore, \(-4(x+3)=-4x-12\). In \(-4x+12\), the sign of the constant term is incorrect. 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?
\(-4x-12\)
Why is this the correct answer?
Using the distributive property, multiply \(-4\) by each term inside the bracket: \(-4\times x=-4x\) and \(-4\times 3=-12\). Therefore, \(-4(x+3)=-4x-12\). In \(-4x+12\), the sign of the constant term is incorrect. 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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