Evaluate
x^{2}\left(7-5x^{2}\right)
Factor
x^{2}\left(7-5x^{2}\right)
Graph
Share
Copied to clipboard
7x^{2}-5x^{4}-5x+5x
Combine 3x^{4} and -8x^{4} to get -5x^{4}.
7x^{2}-5x^{4}
Combine -5x and 5x to get 0.
x\left(7x-5x^{3}\right)
Factor out x.
-5x^{3}+7x
Consider 7x+3x^{3}-5-8x^{3}+5. Multiply and combine like terms.
x\left(-5x^{2}+7\right)
Consider -5x^{3}+7x. Factor out x.
xx\left(-5x^{2}+7\right)
Rewrite the complete factored expression. Polynomial -5x^{2}+7 is not factored since it does not have any rational roots.
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}