Simplify each of the following algebraic expressions by removing grouping symbols
1. 6x + (-7x - 2y)
2. [3c - (2c + 5d) - d]
3. 5a - (3b - 2a +4c).
4.a - [b - {a -(b -1) + 3a}]
5.. 2x - 3y - [3x – 2y - {x - 2 - (x - 2y)}]
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Answers
Answer to Q.No. 1
Now, we shall remove the brackets.
Here, the sign of 7x changes into minus because we know that plus and minus together becomes minus.
This is the answer.
Answer to Q. No. 2
[3c - (2c + 5d) - d]
While removing the brackets, the sign changes as plus minus together becomes minus.
[3c - 2c - 5d - d]
c - 6d
This is the answer.
Answer to Q.No. 3
5a - (3b - 2a + 4c)
Here also while removing the brackets, the sign convention changes.
5a - 3b + 2a - 4c
7a - 3b - 4c
This is the answer.
Answer to Q. No. 4
a - [b - {a -(b -1) + 3a}]
Here also as we go on removing the brackets, the sign also changes.
a - [b - {a - b + 1 + 3a}]
a - [b - a + b - 1 - 3a}]
a - [2b - 4a -1]
a - 2b + 4a + 1
5a - 2b + 1
This is the answer.
Answer to Q.No. 5
2x - 3y - [3x – 2y - {x - 2 - (x - 2y)}]
The sign changes as we remove the brackets.
2x - 3y - [3x – 2y - {x - 2 - x + 2y}]
2x - 3y - [3x – 2y - x + 2 + x - 2y]
2x - 3y - 3x + 2y + x - 2 - x + 2y
2x - 3x + x - x - 3y + 2y + 2y - 2
-x + y - 2
x - y + 2
Hence, this is the answer.
Answer:
Simplify each of the following algebraic expressions by removing grouping symbols
1. 6x + (-7x - 2y)
2. [3c - (2c + 5d) - d]
3. 5a - (3b - 2a +4c).
4.a - [b - {a -(b -1) + 3a}]
5.. 2x - 3y - [3x – 2y - {x - 2 - (x - 2y)}]