Find the Product (4+y)^3

${(4 + y)}^{3}$

Step 1

Use the Binomial Theorem.

$4^{3} + 3 \cdot 4^{2} y + 3 \cdot 4 y^{2} + y^{3}$

Step 2

Simplify each term.

Raise $4$ to the power of $3$ .

$64 + 3 \cdot 4^{2} y + 3 \cdot 4 y^{2} + y^{3}$

Raise $4$ to the power of $2$ .

$64 + 3 \cdot 16 y + 3 \cdot 4 y^{2} + y^{3}$

Multiply $3$ by $16$ .

$64 + 48 y + 3 \cdot 4 y^{2} + y^{3}$

Multiply $3$ by $4$ .

$64 + 48 y + 12 y^{2} + y^{3}$