Which expression is obtained after simplifying (2(x-5)+3x)?
Answer and explanation
Correct answer: \(5x-10\)
Using the distributive property, \(2(x-5)=2x-10\). Adding \(3x\) to \(2x-10\), the like terms \(2x\) and \(3x\) combine to give \(5x\), so the simplified expression is \(5x-10\). \(5x+10\) is incorrect because \(2\times(-5)=-10\), not \(+10\). Exam tip: When opening brackets, multiply the outside number by every term inside the bracket.
Frequently asked questions
What is the correct answer to this question?
\(5x-10\)
Why is this the correct answer?
Using the distributive property, \(2(x-5)=2x-10\). Adding \(3x\) to \(2x-10\), the like terms \(2x\) and \(3x\) combine to give \(5x\), so the simplified expression is \(5x-10\). \(5x+10\) is incorrect because \(2\times(-5)=-10\), not \(+10\). Exam tip: When opening brackets, multiply the outside number by 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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