Simplify (x^2-5x+6)/(2ax-6a)

$\frac{x^{2} - 5 x + 6}{2 a x - 6 a}$

Factor $x^{2} - 5 x + 6$ 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 $- 5$ .

$- 3, - 2$

Write the factored form using these integers.

$\frac{(x - 3) (x - 2)}{2 a x - 6 a}$

Simplify terms.

Factor $2 a$ out of $2 a x - 6 a$ .

Factor $2 a$ out of $2 a x$ .

$\frac{(x - 3) (x - 2)}{2 a (x) - 6 a}$

Factor $2 a$ out of $- 6 a$ .

$\frac{(x - 3) (x - 2)}{2 a (x) + 2 a (- 3)}$

Factor $2 a$ out of $2 a (x) + 2 a (- 3)$ .

$\frac{(x - 3) (x - 2)}{2 a (x - 3)}$

Cancel the common factor of $x - 3$ .

Cancel the common factor.

$\frac{(x - 3) (x - 2)}{2 a (x - 3)}$

Rewrite the expression.

$\frac{x - 2}{2 a}$

Simplify (x^2-5x+6)/(2ax-6a)

Related Questions

Support LCMGCF.com by disabling your adblocker.