Evaluate
\left(z-4\right)\left(z\left(z+4\right)\right)^{2}
Expand
z^{5}+4z^{4}-16z^{3}-64z^{2}
Share
Copied to clipboard
\frac{5z^{3}-80z}{5}z\left(z+4\right)
Use the distributive property to multiply z by 5z^{2}-80.
\left(z^{3}-16z\right)z\left(z+4\right)
Divide each term of 5z^{3}-80z by 5 to get z^{3}-16z.
\left(z^{4}-16z^{2}\right)\left(z+4\right)
Use the distributive property to multiply z^{3}-16z by z.
z^{5}+4z^{4}-16z^{3}-64z^{2}
Use the distributive property to multiply z^{4}-16z^{2} by z+4.
\frac{5z^{3}-80z}{5}z\left(z+4\right)
Use the distributive property to multiply z by 5z^{2}-80.
\left(z^{3}-16z\right)z\left(z+4\right)
Divide each term of 5z^{3}-80z by 5 to get z^{3}-16z.
\left(z^{4}-16z^{2}\right)\left(z+4\right)
Use the distributive property to multiply z^{3}-16z by z.
z^{5}+4z^{4}-16z^{3}-64z^{2}
Use the distributive property to multiply z^{4}-16z^{2} by z+4.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}