Find the Product (7+k)^3

${(7 + k)}^{3}$

Step 1

Use the Binomial Theorem.

$7^{3} + 3 \cdot 7^{2} k + 3 \cdot 7 k^{2} + k^{3}$

Step 2

Simplify each term.

Raise $7$ to the power of $3$ .

$343 + 3 \cdot 7^{2} k + 3 \cdot 7 k^{2} + k^{3}$

Raise $7$ to the power of $2$ .

$343 + 3 \cdot 49 k + 3 \cdot 7 k^{2} + k^{3}$

Multiply $3$ by $49$ .

$343 + 147 k + 3 \cdot 7 k^{2} + k^{3}$

Multiply $3$ by $7$ .

$343 + 147 k + 21 k^{2} + k^{3}$