Basic Math Examples

$0^{2} - 3 \cdot 0 + 4 + (1^{2} - 3 \cdot 1 + 4) + (2^{2} - 3 \cdot 2 + 4) + (3^{2} - 3 \cdot 3) + 4$

Step 1

Remove parentheses.

$0^{2} - 3 \cdot 0 + 4 + 1^{2} - 3 \cdot 1 + 4 + 2^{2} - 3 \cdot 2 + 4 + 3^{2} - 3 \cdot 3 + 4$

Step 2

Simplify each term.

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Step 2.1

Raising $0$ to any positive power yields $0$ .

$0 - 3 \cdot 0 + 4 + 1^{2} - 3 \cdot 1 + 4 + 2^{2} - 3 \cdot 2 + 4 + 3^{2} - 3 \cdot 3 + 4$

Step 2.2

Multiply $- 3$ by $0$ .

$0 + 0 + 4 + 1^{2} - 3 \cdot 1 + 4 + 2^{2} - 3 \cdot 2 + 4 + 3^{2} - 3 \cdot 3 + 4$

Step 2.3

One to any power is one.

$0 + 0 + 4 + 1 - 3 \cdot 1 + 4 + 2^{2} - 3 \cdot 2 + 4 + 3^{2} - 3 \cdot 3 + 4$

Step 2.4

Multiply $- 3$ by $1$ .

$0 + 0 + 4 + 1 - 3 + 4 + 2^{2} - 3 \cdot 2 + 4 + 3^{2} - 3 \cdot 3 + 4$

Step 2.5

Raise $2$ to the power of $2$ .

$0 + 0 + 4 + 1 - 3 + 4 + 4 - 3 \cdot 2 + 4 + 3^{2} - 3 \cdot 3 + 4$

Step 2.6

Multiply $- 3$ by $2$ .

$0 + 0 + 4 + 1 - 3 + 4 + 4 - 6 + 4 + 3^{2} - 3 \cdot 3 + 4$

Step 2.7

Raise $3$ to the power of $2$ .

$0 + 0 + 4 + 1 - 3 + 4 + 4 - 6 + 4 + 9 - 3 \cdot 3 + 4$

Step 2.8

Multiply $- 3$ by $3$ .

$0 + 0 + 4 + 1 - 3 + 4 + 4 - 6 + 4 + 9 - 9 + 4$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $0$ and $0$ .

$0 + 4 + 1 - 3 + 4 + 4 - 6 + 4 + 9 - 9 + 4$

Step 3.2

Add $0$ and $4$ .

$4 + 1 - 3 + 4 + 4 - 6 + 4 + 9 - 9 + 4$

Step 3.3

Add $4$ and $1$ .

$5 - 3 + 4 + 4 - 6 + 4 + 9 - 9 + 4$

Step 3.4

Subtract $3$ from $5$ .

$2 + 4 + 4 - 6 + 4 + 9 - 9 + 4$

Step 3.5

Add $2$ and $4$ .

$6 + 4 - 6 + 4 + 9 - 9 + 4$

Step 3.6

Add $6$ and $4$ .

$10 - 6 + 4 + 9 - 9 + 4$

Step 3.7

Subtract $6$ from $10$ .

$4 + 4 + 9 - 9 + 4$

Step 3.8

Add $4$ and $4$ .

$8 + 9 - 9 + 4$

Step 3.9

Add $8$ and $9$ .

$17 - 9 + 4$

Step 3.10

Subtract $9$ from $17$ .

$8 + 4$

Step 3.11

Add $8$ and $4$ .

$12$