Finite Math Examples

$(4 r s - 2 r^{2} s - 11 r s^{2}) - (11 r s^{2} - 2 r s + 4 r^{2 s})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$4 r s - 2 r^{2} s - 11 r s^{2} - (11 r s^{2}) - (- 2 r s) - (4 r^{2 s})$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $11$ by $- 1$ .

$4 r s - 2 r^{2} s - 11 r s^{2} - 11 (r s^{2}) - (- 2 r s) - (4 r^{2 s})$

Step 1.2.2

Multiply $- 2$ by $- 1$ .

$4 r s - 2 r^{2} s - 11 r s^{2} - 11 (r s^{2}) + 2 (r s) - (4 r^{2 s})$

Step 1.2.3

Multiply $4$ by $- 1$ .

$4 r s - 2 r^{2} s - 11 r s^{2} - 11 (r s^{2}) + 2 (r s) - 4 r^{2 s}$

Step 1.3

Remove parentheses.

$4 r s - 2 r^{2} s - 11 r s^{2} - 11 r s^{2} + 2 r s - 4 r^{2 s}$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Add $4 r s$ and $2 r s$ .

$6 r s - 2 r^{2} s - 11 r s^{2} - 11 r s^{2} - 4 r^{2 s}$

Step 2.2

Subtract $11 r s^{2}$ from $- 11 r s^{2}$ .

$6 r s - 2 r^{2} s - 22 r s^{2} - 4 r^{2 s}$