Algebra Examples

$\frac{7 b^{3}}{b^{2} - 7 b + 10}$

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 $10$ and whose sum is $- 7$ .

$- 5, - 2$

Step 2

Write the factored form using these integers.

$\frac{7 b^{3}}{(b - 5) (b - 2)}$