Algebra Examples

$\frac{y^{2} + 4 y + 1}{y^{2} - 1}$ , $y = - 2$

Step 1

Replace the variable $y$ with $- 2$ in the expression.

$\frac{{(- 2)}^{2} + 4 (- 2) + 1}{{(- 2)}^{2} - 1}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

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

$\frac{4 + 4 (- 2) + 1}{{(- 2)}^{2} - 1}$

Step 2.2

Multiply $4$ by $- 2$ .

$\frac{4 - 8 + 1}{{(- 2)}^{2} - 1}$

Step 2.3

Subtract $8$ from $4$ .

$\frac{- 4 + 1}{{(- 2)}^{2} - 1}$

Step 2.4

Add $- 4$ and $1$ .

$\frac{- 3}{{(- 2)}^{2} - 1}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

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

$\frac{- 3}{4 - 1}$

Step 3.2

Subtract $1$ from $4$ .

$\frac{- 3}{3}$

Step 4

Divide $- 3$ by $3$ .

$- 1$