Algebra Examples

((4 + 2 - 11) + (13 + 9 - 20)) - ((- 3 + 5 - 21) - (18 - 15 + 6))

$((4 + 2 - 11) + (13 + 9 - 20)) - ((- 3 + 5 - 21) - (18 - 15 + 6))$

Step 1

Remove parentheses.

4 + 2 - 11 + 13 + 9 - 20 - ((- 3 + 5 - 21) - (18 - 15 + 6))

$4 + 2 - 11 + 13 + 9 - 20 - ((- 3 + 5 - 21) - (18 - 15 + 6))$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Subtract

15

$15$ from

18

$18$ .

4 + 2 - 11 + 13 + 9 - 20 - (- 3 + 5 - 21 - (3 + 6))

$4 + 2 - 11 + 13 + 9 - 20 - (- 3 + 5 - 21 - (3 + 6))$

Step 2.1.2

Add

3

$3$ and

6

$6$ .

4 + 2 - 11 + 13 + 9 - 20 - (- 3 + 5 - 21 - 1 \cdot 9)

$4 + 2 - 11 + 13 + 9 - 20 - (- 3 + 5 - 21 - 1 \cdot 9)$

Step 2.1.3

Multiply

- 1

$- 1$ by

9

$9$ .

4 + 2 - 11 + 13 + 9 - 20 - (- 3 + 5 - 21 - 9)

$4 + 2 - 11 + 13 + 9 - 20 - (- 3 + 5 - 21 - 9)$

4 + 2 - 11 + 13 + 9 - 20 - (- 3 + 5 - 21 - 9)

$4 + 2 - 11 + 13 + 9 - 20 - (- 3 + 5 - 21 - 9)$

Step 2.2

Add

- 3

$- 3$ and

5

$5$ .

4 + 2 - 11 + 13 + 9 - 20 - (2 - 21 - 9)

$4 + 2 - 11 + 13 + 9 - 20 - (2 - 21 - 9)$

Step 2.3

Subtract

21

$21$ from

2

$2$ .

4 + 2 - 11 + 13 + 9 - 20 - (- 19 - 9)

$4 + 2 - 11 + 13 + 9 - 20 - (- 19 - 9)$

Step 2.4

Subtract

9

$9$ from

- 19

$- 19$ .

4 + 2 - 11 + 13 + 9 - 20 - - 28

$4 + 2 - 11 + 13 + 9 - 20 - - 28$

Step 2.5

Multiply

- 1

$- 1$ by

- 28

$- 28$ .

4 + 2 - 11 + 13 + 9 - 20 + 28

$4 + 2 - 11 + 13 + 9 - 20 + 28$

4 + 2 - 11 + 13 + 9 - 20 + 28

$4 + 2 - 11 + 13 + 9 - 20 + 28$

Step 3

Simplify by adding and subtracting.

Tap for more steps...

Step 3.1

Add

4

$4$ and

2

$2$ .

6 - 11 + 13 + 9 - 20 + 28

$6 - 11 + 13 + 9 - 20 + 28$

Step 3.2

Subtract

11

$11$ from

6

$6$ .

- 5 + 13 + 9 - 20 + 28

$- 5 + 13 + 9 - 20 + 28$

Step 3.3

Add

- 5

$- 5$ and

13

$13$ .

8 + 9 - 20 + 28

$8 + 9 - 20 + 28$

Step 3.4

Add

8

$8$ and

9

$9$ .

17 - 20 + 28

$17 - 20 + 28$

Step 3.5

Subtract

20

$20$ from

17

$17$ .

- 3 + 28

$- 3 + 28$

Step 3.6

Add

- 3

$- 3$ and

28

$28$ .

25

$25$

25

$25$

((4 + 2 - 11) + (13 + 9 - 20)) - ((- 3 + 5 - 21) - (18 - 15 + 6))

$((4 + 2 - 11) + (13 + 9 - 20)) - ((- 3 + 5 - 21) - (18 - 15 + 6))$

(

)

[

]

√



≥

















≤















∩

∪







∞











