Which expression is obtained after simplifying (8x-(3x-5))?
Answer and explanation
Correct answer: \(5x+5\)
A minus sign before the bracket changes the sign of every term inside it: \(8x-(3x-5)=8x-3x+5\). Combining like terms gives \(8x-3x=5x\), so the simplified expression is \(5x+5\). The option \(5x-5\) results from incorrectly keeping the sign of \(-5\) unchanged. Exam tip: when removing brackets preceded by ‘−’, reverse every sign inside the brackets.
Frequently asked questions
What is the correct answer to this question?
\(5x+5\)
Why is this the correct answer?
A minus sign before the bracket changes the sign of every term inside it: \(8x-(3x-5)=8x-3x+5\). Combining like terms gives \(8x-3x=5x\), so the simplified expression is \(5x+5\). The option \(5x-5\) results from incorrectly keeping the sign of \(-5\) unchanged. Exam tip: when removing brackets preceded by ‘−’, reverse every sign inside the brackets.
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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