Algebra Examples

$2 z^{2} (m^{3} - 4 m^{8}) - 8 m^{5} + m^{10}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$2 z^{2} m^{3} + 2 z^{2} (- 4 m^{8}) - 8 m^{5} + m^{10}$

Step 1.2

Rewrite using the commutative property of multiplication.

$2 z^{2} m^{3} + 2 \cdot - 4 z^{2} m^{8} - 8 m^{5} + m^{10}$

Step 1.3

Multiply $2$ by $- 4$ .

$2 z^{2} m^{3} - 8 z^{2} m^{8} - 8 m^{5} + m^{10}$

Step 2

Reorder.

Tap for more steps...

Step 2.1

Move $z^{2}$ .

$2 m^{3} z^{2} - 8 z^{2} m^{8} - 8 m^{5} + m^{10}$

Step 2.2

Move $z^{2}$ .

$2 m^{3} z^{2} - 8 m^{8} z^{2} - 8 m^{5} + m^{10}$

Step 2.3

Move $- 8 m^{5}$ .

$2 m^{3} z^{2} - 8 m^{8} z^{2} + m^{10} - 8 m^{5}$

Step 2.4

Move $2 m^{3} z^{2}$ .

$- 8 m^{8} z^{2} + m^{10} + 2 m^{3} z^{2} - 8 m^{5}$