Simplify (y^2-4y-5)/(y^2+5y+4)

$\frac{y^{2} - 4 y - 5}{y^{2} + 5 y + 4}$

Step 1

Factor $y^{2} - 4 y - 5$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 5$ and whose sum is $- 4$ .

$- 5, 1$

Write the factored form using these integers.

$\frac{(y - 5) (y + 1)}{y^{2} + 5 y + 4}$

Step 2

Factor $y^{2} + 5 y + 4$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $4$ and whose sum is $5$ .

$1, 4$

Write the factored form using these integers.

$\frac{(y - 5) (y + 1)}{(y + 1) (y + 4)}$

Step 3

Cancel the common factor of $y + 1$ .

Cancel the common factor.

$\frac{(y - 5) (y + 1)}{(y + 1) (y + 4)}$

Rewrite the expression.

$\frac{y - 5}{y + 4}$

Simplify (y^2-4y-5)/(y^2+5y+4)

Related Questions

Support LCMGCF.com by disabling your adblocker.