Finite Math Examples

$(9 r s - 3 r^{5} s - 12 r s^{4}) - (10 r s^{4} - 6 r s + 9 r^{5} s)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$9 r s - 3 r^{5} s - 12 r s^{4} - (10 r s^{4}) - (- 6 r s) - (9 r^{5} s)$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $10$ by $- 1$ .

$9 r s - 3 r^{5} s - 12 r s^{4} - 10 (r s^{4}) - (- 6 r s) - (9 r^{5} s)$

Step 1.2.2

Multiply $- 6$ by $- 1$ .

$9 r s - 3 r^{5} s - 12 r s^{4} - 10 (r s^{4}) + 6 (r s) - (9 r^{5} s)$

Step 1.2.3

Multiply $9$ by $- 1$ .

$9 r s - 3 r^{5} s - 12 r s^{4} - 10 (r s^{4}) + 6 (r s) - 9 (r^{5} s)$

Step 1.3

Remove parentheses.

$9 r s - 3 r^{5} s - 12 r s^{4} - 10 r s^{4} + 6 r s - 9 r^{5} s$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Add $9 r s$ and $6 r s$ .

$15 r s - 3 r^{5} s - 12 r s^{4} - 10 r s^{4} - 9 r^{5} s$

Step 2.2

Subtract $9 r^{5} s$ from $- 3 r^{5} s$ .

$15 r s - 12 r^{5} s - 12 r s^{4} - 10 r s^{4}$

Step 2.3

Subtract $10 r s^{4}$ from $- 12 r s^{4}$ .

$15 r s - 12 r^{5} s - 22 r s^{4}$