Basic Math Examples

$\frac{y^{2} + 4 y + 6}{y^{2} - 7 y + 12}$

Step 1

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 $12$ and whose sum is $- 7$ .

$- 4, - 3$

Step 2

Write the factored form using these integers.

$\frac{y^{2} + 4 y + 6}{(y - 4) (y - 3)}$