Which expression is obtained after simplifying (4(2x-3)+x)?
Answer and explanation
Correct answer: \(9x-12\)
On expanding the bracket, \(4(2x-3)=8x-12\). Adding \(x\) gives \(8x-12+x=9x-12\). Therefore, the correct expression is \(9x-12\). In \(9x+12\), the sign of the constant term is incorrect because \(4\times(-3)=-12\). Exam tip: while expanding brackets, check the sign of each product carefully.
Frequently asked questions
What is the correct answer to this question?
\(9x-12\)
Why is this the correct answer?
On expanding the bracket, \(4(2x-3)=8x-12\). Adding \(x\) gives \(8x-12+x=9x-12\). Therefore, the correct expression is \(9x-12\). In \(9x+12\), the sign of the constant term is incorrect because \(4\times(-3)=-12\). Exam tip: while expanding brackets, check the sign of each product carefully.
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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