Simplify (x+5)^3

${(x + 5)}^{3}$

Step 1

Use the Binomial Theorem.

$x^{3} + 3 x^{2} \cdot 5 + 3 x \cdot 5^{2} + 5^{3}$

Step 2

Simplify each term.

Multiply $5$ by $3$ .

$x^{3} + 15 x^{2} + 3 x \cdot 5^{2} + 5^{3}$

Raise $5$ to the power of $2$ .

$x^{3} + 15 x^{2} + 3 x \cdot 25 + 5^{3}$

Multiply $25$ by $3$ .

$x^{3} + 15 x^{2} + 75 x + 5^{3}$

Raise $5$ to the power of $3$ .

$x^{3} + 15 x^{2} + 75 x + 125$