Basic Math Examples

$\frac{w^{2} + 9 w - 3}{w^{2} - 4 w + 3}$

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 $3$ and whose sum is $- 4$ .

$- 3, - 1$

Step 2

Write the factored form using these integers.

$\frac{w^{2} + 9 w - 3}{(w - 3) (w - 1)}$