Which expression represents twice the difference of (x) and (y)?
Answer and explanation
Correct answer: \(2(x-y)\)
First, the difference of \(x\) and \(y\) is \(x-y\). Twice this entire difference is \(2(x-y)\), which equals \(2x-2y\). In \(2x-y\), only \(x\) is doubled, so it is not correct. Exam tip: For “twice the difference,” put the difference in brackets and multiply the whole bracket by 2.
Frequently asked questions
What is the correct answer to this question?
\(2(x-y)\)
Why is this the correct answer?
First, the difference of \(x\) and \(y\) is \(x-y\). Twice this entire difference is \(2(x-y)\), which equals \(2x-2y\). In \(2x-y\), only \(x\) is doubled, so it is not correct. Exam tip: For “twice the difference,” put the difference in brackets and multiply the whole bracket by 2.
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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