Question
Simplify the following algebraic expressions by removing grouping symbols:
5a - {3a - (2 - a) + 4}
5a - {3a - (2 - a) + 4}
✓
Answer
We have,
5a - {3a - (2 - a) + 4}
First, we have to remove the small brackets (or parentheses): ().
Then, we have to remove the curly brackets (or braces): {}.
Therefore,
= 5a - {3a - 2 + a + 4}
= 5a - 3a + 2 - a - 4
= 5a - 4a - 2
= a - 2
5a - {3a - (2 - a) + 4}
First, we have to remove the small brackets (or parentheses): ().
Then, we have to remove the curly brackets (or braces): {}.
Therefore,
= 5a - {3a - 2 + a + 4}
= 5a - 3a + 2 - a - 4
= 5a - 4a - 2
= a - 2
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The price of a tea set is increased by 5%. If the increased price is Rs. 441, what is its original price?
A room is 9.68 m long and 6.2 m wide. Its floor is to be covered with rectangular tiles of size 22 cm by 10 cm . Find the total cost of the tiles at the rate of Rs. 2.50 per tile.
Find the radius of a circle whose area is $616 cm^2$.
→Calculate the median for the following data:
| Marks | 17 | 20 | 22 | 15 | 30 | 25 |
| Number of students | 5 | 9 | 4 | 3 | 10 | 6 |
In each of the following pairs of right triangles, the measures of some parts are indicated along side. State by the application of RHS congruence condition which are congruent. State each result in symbolic form.
If the side of a square is tripled, how many times the perimeter of the first square will that of the new square be ?
The circumference of a circle is 264cm. Find its area.
If the angles of a triangle are in the ratio 1 : 2 : 3, determine three angles.
Solve the following equations. Check your result in case.
$\frac{1}{2}\text{x}-3=5+\frac{1}{3}\text{x}$
→$\frac{1}{2}\text{x}-3=5+\frac{1}{3}\text{x}$
A girl can finish a book in 25 days if she reads 18 pages of it every day. How many days will she take to finish it, if she reads 15 pages every day?