What is obtained after simplifying (3(4x-5)-2(2x+1))?
Answer and explanation
Correct answer: \(8x-17\)
Using the distributive property, \(3(4x-5)=12x-15\) and \(-2(2x+1)=-4x-2\). Therefore, \(12x-15-4x-2=8x-17\). Hence, \(8x-17\) is correct. In \(8x-13\), the constant terms have been combined incorrectly. Exam tip: when a negative coefficient is outside a bracket, apply it to every term inside the bracket.
Frequently asked questions
What is the correct answer to this question?
\(8x-17\)
Why is this the correct answer?
Using the distributive property, \(3(4x-5)=12x-15\) and \(-2(2x+1)=-4x-2\). Therefore, \(12x-15-4x-2=8x-17\). Hence, \(8x-17\) is correct. In \(8x-13\), the constant terms have been combined incorrectly. Exam tip: when a negative coefficient is outside a bracket, apply it to every term inside the bracket.
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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