Basic Math Examples

$(3 n^{3} + 3 n - 10) - (4 n^{2} - 5 n) + (4 n^{3} - 3 n^{2} - 9 n + 4)$

Step 1

Remove parentheses.

$(3 n^{3} + 3 n - 10) - (4 n^{2} - 5 n) + 4 n^{3} - 3 n^{2} - 9 n + 4$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$3 n^{3} + 3 n - 10 - (4 n^{2}) - (- 5 n) + 4 n^{3} - 3 n^{2} - 9 n + 4$

Step 2.2

Multiply $4$ by $- 1$ .

$3 n^{3} + 3 n - 10 - 4 n^{2} - (- 5 n) + 4 n^{3} - 3 n^{2} - 9 n + 4$

Step 2.3

Multiply $- 5$ by $- 1$ .

$3 n^{3} + 3 n - 10 - 4 n^{2} + 5 n + 4 n^{3} - 3 n^{2} - 9 n + 4$

Step 3

Simplify by adding terms.

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Step 3.1

Add $3 n^{3}$ and $4 n^{3}$ .

$7 n^{3} + 3 n - 10 - 4 n^{2} + 5 n - 3 n^{2} - 9 n + 4$

Step 3.2

Add $3 n$ and $5 n$ .

$7 n^{3} + 8 n - 10 - 4 n^{2} - 3 n^{2} - 9 n + 4$

Step 3.3

Subtract $9 n$ from $8 n$ .

$7 n^{3} - 10 - 4 n^{2} - 3 n^{2} - n + 4$

Step 3.4

Add $- 10$ and $4$ .

$7 n^{3} - 4 n^{2} - 3 n^{2} - n - 6$

Step 3.5

Subtract $3 n^{2}$ from $- 4 n^{2}$ .

$7 n^{3} - 7 n^{2} - n - 6$