Basic Math Examples

{(2 \cdot 2 - 3)}^{2} + (2 - 1) (2 - 2) - 3 (2 + 2)

${(2 \cdot 2 - 3)}^{2} + (2 - 1) (2 - 2) - 3 (2 + 2)$

Step 1

Simplify each term.

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Step 1.1

Multiply

2

$2$ by

2

$2$ .

{(4 - 3)}^{2} + (2 - 1) (2 - 2) - 3 (2 + 2)

${(4 - 3)}^{2} + (2 - 1) (2 - 2) - 3 (2 + 2)$

Step 1.2

Subtract

3

$3$ from

4

$4$ .

1^{2} + (2 - 1) (2 - 2) - 3 (2 + 2)

$1^{2} + (2 - 1) (2 - 2) - 3 (2 + 2)$

Step 1.3

One to any power is one.

1 + (2 - 1) (2 - 2) - 3 (2 + 2)

$1 + (2 - 1) (2 - 2) - 3 (2 + 2)$

Step 1.4

Subtract

1

$1$ from

2

$2$ .

1 + 1 (2 - 2) - 3 (2 + 2)

$1 + 1 (2 - 2) - 3 (2 + 2)$

Step 1.5

Multiply

2 - 2

$2 - 2$ by

1

$1$ .

1 + 2 - 2 - 3 (2 + 2)

$1 + 2 - 2 - 3 (2 + 2)$

Step 1.6

Subtract

2

$2$ from

2

$2$ .

1 + 0 - 3 (2 + 2)

$1 + 0 - 3 (2 + 2)$

Step 1.7

Add

2

$2$ and

2

$2$ .

1 + 0 - 3 \cdot 4

$1 + 0 - 3 \cdot 4$

Step 1.8

Multiply

- 3

$- 3$ by

4

$4$ .

1 + 0 - 12

$1 + 0 - 12$

1 + 0 - 12

$1 + 0 - 12$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add

1

$1$ and

0

$0$ .

1 - 12

$1 - 12$

Step 2.2

Subtract

12

$12$ from

1

$1$ .

- 11

$- 11$

- 11

$- 11$