Basic Math Examples

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

Step 1

Use the Binomial Theorem.

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

Step 2

Simplify each term.

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Step 2.1

Multiply $5$ by $3$ .

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

Step 2.2

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

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

Step 2.3

Multiply $25$ by $3$ .

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

Step 2.4

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

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