Algebra Examples

$(r^{3} - 6 r s + 6 s^{2}) - (3 r^{3} + r s - 4 s^{2})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$r^{3} - 6 r s + 6 s^{2} - (3 r^{3}) - (r s) - (- 4 s^{2})$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $3$ by $- 1$ .

$r^{3} - 6 r s + 6 s^{2} - 3 r^{3} - (r s) - (- 4 s^{2})$

Step 1.2.2

Multiply $- 4$ by $- 1$ .

$r^{3} - 6 r s + 6 s^{2} - 3 r^{3} - r s + 4 s^{2}$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $3 r^{3}$ from $r^{3}$ .

$- 2 r^{3} - 6 r s + 6 s^{2} - r s + 4 s^{2}$

Step 2.2

Subtract $r s$ from $- 6 r s$ .

$- 2 r^{3} + 6 s^{2} - 7 r s + 4 s^{2}$

Step 2.3

Add $6 s^{2}$ and $4 s^{2}$ .

$- 2 r^{3} + 10 s^{2} - 7 r s$