Question

divide.

\\(15v^7z^6 - 21vz^4) \div (3v^2z^5)\\

simplify your answer as much as possible.

Explanation:

Rewrite division as a rational expression

Using the Simplifying Rational Expressions knowledge point

$$ \frac{15v^7z^6 - 21vz^4}{3v^2z^5} $$

Split into separate terms

Using the Simplifying Rational Expressions knowledge point

$$ \frac{15v^7z^6}{3v^2z^5} - \frac{21vz^4}{3v^2z^5} $$

Simplify each term using exponent rules

Using the Exponent Rules knowledge point

$$
LATEXBLOCK0
$$

Combine the simplified terms

Using the Simplifying Rational Expressions knowledge point

$$ 5v^5z - \frac{7}{vz} $$

Answer:

Divide.

$$ (15v^7z^6 - 21vz^4) \div (3v^2z^5) $$

Simplify your answer as much as possible.
<blank>\(5v^5z - \frac{7}{vz}\)</blank>