What is the simplified form of (3x-[2x-(x-5)])?
Answer and explanation
Correct answer: 2x-5
First simplify the innermost bracket: 2x-(x-5)=2x-x+5=x+5. Then, 3x-(x+5)=3x-x-5=2x-5. Hence, the correct answer is 2x-5. In 2x+5, the negative sign before the outer bracket has not been applied to every term inside it. Exam tip: When a bracket is preceded by a minus sign, change the sign of each term inside while removing the bracket.
Frequently asked questions
What is the correct answer to this question?
2x-5
Why is this the correct answer?
First simplify the innermost bracket: 2x-(x-5)=2x-x+5=x+5. Then, 3x-(x+5)=3x-x-5=2x-5. Hence, the correct answer is 2x-5. In 2x+5, the negative sign before the outer bracket has not been applied to every term inside it. Exam tip: When a bracket is preceded by a minus sign, change the sign of each term inside while removing the bracket.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
