Write in Standard Form -5q^2(-q-5)

$- 5 q^{2} (- q - 5)$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify by multiplying through.

Apply the distributive property.

$- 5 q^{2} (- q) - 5 q^{2} \cdot - 5$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$- 5 \cdot - 1 q^{2} q - 5 q^{2} \cdot - 5$

Multiply $- 5$ by $- 5$ .

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

Step 3

Simplify each term.

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

Move $q$ .

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

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

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

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

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

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

Add $1$ and $2$ .

$- 5 \cdot - 1 q^{3} + 25 q^{2}$

Multiply $- 5$ by $- 1$ .

$5 q^{3} + 25 q^{2}$