Simplify ((y-1)/(y^2+y-6))/((y-6)/(y+3))

$\frac{\frac{y - 1}{y^{2} + y - 6}}{\frac{y - 6}{y + 3}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{y - 1}{y^{2} + y - 6} \cdot \frac{y + 3}{y - 6}$

Factor $y^{2} + y - 6$ 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 $- 6$ and whose sum is $1$ .

$- 2, 3$

Write the factored form using these integers.

$\frac{y - 1}{(y - 2) (y + 3)} \cdot \frac{y + 3}{y - 6}$

Simplify terms.

Cancel the common factor of $y + 3$ .

Factor $y + 3$ out of $(y - 2) (y + 3)$ .

$\frac{y - 1}{(y + 3) (y - 2)} \cdot \frac{y + 3}{y - 6}$

Cancel the common factor.

$\frac{y - 1}{(y + 3) (y - 2)} \cdot \frac{y + 3}{y - 6}$

Rewrite the expression.

$\frac{y - 1}{y - 2} \cdot \frac{1}{y - 6}$

Multiply $\frac{y - 1}{y - 2}$ by $\frac{1}{y - 6}$ .

$\frac{y - 1}{(y - 2) (y - 6)}$

Simplify ((y-1)/(y^2+y-6))/((y-6)/(y+3))

Related Questions

Support LCMGCF.com by disabling your adblocker.