Simplify 5m(5m^4+5m^2-4)

$5 m (5 m^{4} + 5 m^{2} - 4)$

Apply the distributive property.

$5 m (5 m^{4}) + 5 m (5 m^{2}) + 5 m \cdot - 4$

Simplify.

Rewrite using the commutative property of multiplication.

$5 \cdot 5 m \cdot m^{4} + 5 m (5 m^{2}) + 5 m \cdot - 4$

Rewrite using the commutative property of multiplication.

$5 \cdot 5 m \cdot m^{4} + 5 \cdot 5 m \cdot m^{2} + 5 m \cdot - 4$

Multiply $- 4$ by $5$ .

$5 \cdot 5 m \cdot m^{4} + 5 \cdot 5 m \cdot m^{2} - 20 m$

Simplify each term.

Multiply $m$ by $m^{4}$ by adding the exponents.

Move $m^{4}$ .

$5 \cdot 5 (m^{4} m) + 5 \cdot 5 m \cdot m^{2} - 20 m$

Multiply $m^{4}$ by $m$ .

Raise $m$ to the power of $1$ .

$5 \cdot 5 (m^{4} m^{1}) + 5 \cdot 5 m \cdot m^{2} - 20 m$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$5 \cdot 5 m^{4 + 1} + 5 \cdot 5 m \cdot m^{2} - 20 m$

Add $4$ and $1$ .

$5 \cdot 5 m^{5} + 5 \cdot 5 m \cdot m^{2} - 20 m$

Multiply $5$ by $5$ .

$25 m^{5} + 5 \cdot 5 m \cdot m^{2} - 20 m$

Multiply $m$ by $m^{2}$ by adding the exponents.

Move $m^{2}$ .

$25 m^{5} + 5 \cdot 5 (m^{2} m) - 20 m$

Multiply $m^{2}$ by $m$ .

Raise $m$ to the power of $1$ .

$25 m^{5} + 5 \cdot 5 (m^{2} m^{1}) - 20 m$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$25 m^{5} + 5 \cdot 5 m^{2 + 1} - 20 m$

Add $2$ and $1$ .

$25 m^{5} + 5 \cdot 5 m^{3} - 20 m$

Multiply $5$ by $5$ .

$25 m^{5} + 25 m^{3} - 20 m$