Algebra Examples

$f (x) = \frac{(x + 2) {(x + 1)}^{3}}{(x + 2) {(x - 3)}^{2}}$

Step 1

Cancel the common factor of $x + 2$ .

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Step 1.1

Cancel the common factor.

$f (x) = \frac{(x + 2) {(x + 1)}^{3}}{(x + 2) {(x - 3)}^{2}}$

Step 1.2

Rewrite the expression.

$f (x) = \frac{{(x + 1)}^{3}}{{(x - 3)}^{2}}$

Step 2

Subtract $f (x)$ from both sides of the equation.

$0 = \frac{{(x + 1)}^{3}}{{(x - 3)}^{2}} - f (x)$

Step 3

Rewrite the equation as $\frac{{(x + 1)}^{3}}{{(x - 3)}^{2}} - f (x) = 0$ .

$\frac{{(x + 1)}^{3}}{{(x - 3)}^{2}} - f (x) = 0$