Evaluate (4x+4(3+a)^2)/(y-1)

$\frac{4 x + 4 {(3 + a)}^{2}}{y - 1}$

Step 1

Factor $4$ out of $4 x + 4 {(3 + a)}^{2}$ .

Factor $4$ out of $4 x$ .

$\frac{4 (x) + 4 {(3 + a)}^{2}}{y - 1}$

Factor $4$ out of $4 {(3 + a)}^{2}$ .

$\frac{4 (x) + 4 ({(3 + a)}^{2})}{y - 1}$

Factor $4$ out of $4 (x) + 4 ({(3 + a)}^{2})$ .

$\frac{4 (x + {(3 + a)}^{2})}{y - 1}$

Step 2

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

$\frac{4 (x + (3 + a) (3 + a))}{y - 1}$

Step 3

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

Apply the distributive property.

$\frac{4 (x + 3 (3 + a) + a (3 + a))}{y - 1}$

Apply the distributive property.

$\frac{4 (x + 3 \cdot 3 + 3 a + a (3 + a))}{y - 1}$

Apply the distributive property.

$\frac{4 (x + 3 \cdot 3 + 3 a + a \cdot 3 + a \cdot a)}{y - 1}$

Step 4

Simplify and combine like terms.

Simplify each term.

Multiply $3$ by $3$ .

$\frac{4 (x + 9 + 3 a + a \cdot 3 + a \cdot a)}{y - 1}$

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

$\frac{4 (x + 9 + 3 a + 3 \cdot a + a \cdot a)}{y - 1}$

Multiply $a$ by $a$ .

$\frac{4 (x + 9 + 3 a + 3 a + a^{2})}{y - 1}$

Add $3 a$ and $3 a$ .

$\frac{4 (x + 9 + 6 a + a^{2})}{y - 1}$