In which option is the difference of (4x+9) and (x-3) equal to (3x+12)?
Answer and explanation
Correct answer: \(4x+9-(x-3)\)
To find the difference, subtract the second expression from the first: \(4x+9-(x-3)=4x+9-x+3=3x+12\). Therefore, option A is correct. In option B, the order of subtraction is reversed, so it gives \(-3x-12\). Exam tip: When a bracket is preceded by a minus sign, change the signs of all terms inside it.
Frequently asked questions
What is the correct answer to this question?
\(4x+9-(x-3)\)
Why is this the correct answer?
To find the difference, subtract the second expression from the first: \(4x+9-(x-3)=4x+9-x+3=3x+12\). Therefore, option A is correct. In option B, the order of subtraction is reversed, so it gives \(-3x-12\). Exam tip: When a bracket is preceded by a minus sign, change the signs of all terms 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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