Divide.
\[
\left(-12 z^{6} x^{7}-29 z^{6} x^{6}+8 z^{6} x^{4}\right) \div\left(-4 z^{2} x^{5}\right)
\]

Simplify your answer as much as possible.

Answer

Expert–verified

Hide Steps

Answer

The final simplified form of the expression is: \[\boxed{3 z^{4} x^{2} + \frac{29}{4} z^{4} x - 2 z^{4} x^{-1}}\]

Steps

Step 1 ：Divide each term of the numerator by the denominator: \[\frac{-12 z^{6} x^{7}}{-4 z^{2} x^{5}} , \frac{-29 z^{6} x^{6}}{-4 z^{2} x^{5}} , \frac{8 z^{6} x^{4}}{-4 z^{2} x^{5}}\]

Step 2 ：Simplify each term: \[= 3 z^{4} x^{2} + \frac{29}{4} z^{4} x - 2 z^{4} x^{-1}\]

Step 3 ：The final simplified form of the expression is: \[\boxed{3 z^{4} x^{2} + \frac{29}{4} z^{4} x - 2 z^{4} x^{-1}}\]

Divide.\[\left(-12 z^{6} x^{7}-29 z^{6} x^{6}+8 z^{6} x^{4}\right) \div\left(-4 z^{2} x^{5}\right)\] Simplify your answer as much as possible.

Answer

Popular Problems

Divide.
\[
\left(-12 z^{6} x^{7}-29 z^{6} x^{6}+8 z^{6} x^{4}\right) \div\left(-4 z^{2} x^{5}\right)
\]

Simplify your answer as much as possible.