Evaluate (3+h)^2

${(3 + h)}^{2}$

Step 1

Rewrite ${(3 + h)}^{2}$ as $(3 + h) (3 + h)$ .

$(3 + h) (3 + h)$

Step 2

Expand $(3 + h) (3 + h)$ using the FOIL Method.

Apply the distributive property.

$3 (3 + h) + h (3 + h)$

Apply the distributive property.

$3 \cdot 3 + 3 h + h (3 + h)$

Apply the distributive property.

$3 \cdot 3 + 3 h + h \cdot 3 + h \cdot h$

$3 \cdot 3 + 3 h + h \cdot 3 + h \cdot h$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $3$ by $3$ .

$9 + 3 h + h \cdot 3 + h \cdot h$

Move $3$ to the left of $h$ .

$9 + 3 h + 3 \cdot h + h \cdot h$

Multiply $h$ by $h$ .

$9 + 3 h + 3 h + h^{2}$

$9 + 3 h + 3 h + h^{2}$

Add $3 h$ and $3 h$ .

$9 + 6 h + h^{2}$

$9 + 6 h + h^{2}$

Related Questions