Simplify (5+5n^3)-(1-3n^3)

$(5 + 5 n^{3}) - (1 - 3 n^{3})$

Step 1

Simplify each term.

Apply the distributive property.

$5 + 5 n^{3} - 1 \cdot 1 - (- 3 n^{3})$

Multiply $- 1$ by $1$ .

$5 + 5 n^{3} - 1 - (- 3 n^{3})$

Multiply $- 3$ by $- 1$ .

$5 + 5 n^{3} - 1 + 3 n^{3}$

$5 + 5 n^{3} - 1 + 3 n^{3}$

Step 2

Simplify by adding terms.

Subtract $1$ from $5$ .

$5 n^{3} + 4 + 3 n^{3}$

Add $5 n^{3}$ and $3 n^{3}$ .

$8 n^{3} + 4$

$8 n^{3} + 4$

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