Basic Math Examples

$\frac{(a + 9) {(a - 1)}^{4}}{{(a + 9)}^{2} {(a - 1)}^{2}}$

Step 1

Cancel the common factor of $a + 9$ and ${(a + 9)}^{2}$ .

Tap for more steps...

Step 1.1

Factor $a + 9$ out of $(a + 9) {(a - 1)}^{4}$ .

$\frac{(a + 9) ({(a - 1)}^{4})}{{(a + 9)}^{2} {(a - 1)}^{2}}$

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Factor $a + 9$ out of ${(a + 9)}^{2} {(a - 1)}^{2}$ .

$\frac{(a + 9) ({(a - 1)}^{4})}{(a + 9) ((a + 9) {(a - 1)}^{2})}$

Step 1.2.2

Cancel the common factor.

$\frac{(a + 9) {(a - 1)}^{4}}{(a + 9) ((a + 9) {(a - 1)}^{2})}$

Step 1.2.3

Rewrite the expression.

$\frac{{(a - 1)}^{4}}{(a + 9) {(a - 1)}^{2}}$

Step 2

Cancel the common factor of ${(a - 1)}^{4}$ and ${(a - 1)}^{2}$ .

Tap for more steps...

Step 2.1

Factor ${(a - 1)}^{2}$ out of ${(a - 1)}^{4}$ .

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

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor ${(a - 1)}^{2}$ out of $(a + 9) {(a - 1)}^{2}$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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