Algebra Examples

$\frac{{(b - 2)}^{2}}{{(2 - b)}^{2}}$

Step 1

Factor $- 1$ out of $b$ .

$\frac{{(- 1 (- b) - 2)}^{2}}{{(2 - b)}^{2}}$

Step 2

Rewrite $- 2$ as $- 1 (2)$ .

$\frac{{(- 1 (- b) - 1 (2))}^{2}}{{(2 - b)}^{2}}$

Step 3

Factor $- 1$ out of $- 1 (- b) - 1 (2)$ .

$\frac{{(- 1 (- b + 2))}^{2}}{{(2 - b)}^{2}}$

Step 4

Apply the product rule to $- 1 (- b + 2)$ .

$\frac{{(- 1)}^{2} {(- b + 2)}^{2}}{{(2 - b)}^{2}}$

Step 5

Raise $- 1$ to the power of $2$ .

$\frac{1 {(- b + 2)}^{2}}{{(2 - b)}^{2}}$

Step 6

Multiply ${(- b + 2)}^{2}$ by $1$ .

$\frac{{(- b + 2)}^{2}}{{(2 - b)}^{2}}$

Step 7

Reorder terms.

$\frac{{(- b + 2)}^{2}}{{(- b + 2)}^{2}}$

Step 8

Cancel the common factor.

$\frac{{(- b + 2)}^{2}}{{(- b + 2)}^{2}}$

Step 9

Rewrite the expression.

$1$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$