Basic Math Examples

$(m^{3} + 5 - 7 m + 5 m^{2}) \div (m^{2} + 2 m - 3)$

Step 1

Rewrite the division as a fraction.

$\frac{m^{3} + 5 - 7 m + 5 m^{2}}{m^{2} + 2 m - 3}$

Step 2

Reorder terms.

$\frac{m^{3} + 5 m^{2} - 7 m + 5}{m^{2} + 2 m - 3}$

Step 3

Factor $m^{2} + 2 m - 3$ using the AC method.

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Step 3.1

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 $2$ .

$- 1, 3$

Step 3.2

Write the factored form using these integers.

$\frac{m^{3} + 5 m^{2} - 7 m + 5}{(m - 1) (m + 3)}$