In which option is the difference of (3x+7) and (x-2) equal to (2x+9)?
Answer and explanation
Correct answer: \((3x+7)-(x-2)\)
The difference is found by subtracting the second polynomial from the first: \((3x+7)-(x-2)\). On removing the brackets, \(3x+7-x+2=2x+9\). In option B, the order of subtraction is reversed, so it gives a different result. Exam tip: while subtracting a bracket, change the sign of every term inside it.
Frequently asked questions
What is the correct answer to this question?
\((3x+7)-(x-2)\)
Why is this the correct answer?
The difference is found by subtracting the second polynomial from the first: \((3x+7)-(x-2)\). On removing the brackets, \(3x+7-x+2=2x+9\). In option B, the order of subtraction is reversed, so it gives a different result. Exam tip: while subtracting a bracket, change the sign of every term inside it.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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