Basic Math Examples

${(y - 9)}^{3}$

Step 1

Use the Binomial Theorem.

$y^{3} + 3 y^{2} \cdot - 9 + 3 y {(- 9)}^{2} + {(- 9)}^{3}$

Step 2

Simplify each term.

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Step 2.1

Multiply $- 9$ by $3$ .

$y^{3} - 27 y^{2} + 3 y {(- 9)}^{2} + {(- 9)}^{3}$

Step 2.2

Raise $- 9$ to the power of $2$ .

$y^{3} - 27 y^{2} + 3 y \cdot 81 + {(- 9)}^{3}$

Step 2.3

Multiply $81$ by $3$ .

$y^{3} - 27 y^{2} + 243 y + {(- 9)}^{3}$

Step 2.4

Raise $- 9$ to the power of $3$ .

$y^{3} - 27 y^{2} + 243 y - 729$