{ x }^{ 2 } + { 1 }^{ 2 } - { x }^{ 2 } \left( { 3 }^{ } { x }^{ 2 } - { 2 }^{ 2 } \right)
Evaluate
1+5x^{2}-3x^{4}
Expand
1+5x^{2}-3x^{4}
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x^{2}+1-x^{2}\left(3^{1}x^{2}-2^{2}\right)
Calculate 1 to the power of 2 and get 1.
x^{2}+1-x^{2}\left(3x^{2}-2^{2}\right)
Calculate 3 to the power of 1 and get 3.
x^{2}+1-x^{2}\left(3x^{2}-4\right)
Calculate 2 to the power of 2 and get 4.
x^{2}+1-\left(3x^{4}-4x^{2}\right)
Use the distributive property to multiply x^{2} by 3x^{2}-4.
x^{2}+1-3x^{4}+4x^{2}
To find the opposite of 3x^{4}-4x^{2}, find the opposite of each term.
5x^{2}+1-3x^{4}
Combine x^{2} and 4x^{2} to get 5x^{2}.
x^{2}+1-x^{2}\left(3^{1}x^{2}-2^{2}\right)
Calculate 1 to the power of 2 and get 1.
x^{2}+1-x^{2}\left(3x^{2}-2^{2}\right)
Calculate 3 to the power of 1 and get 3.
x^{2}+1-x^{2}\left(3x^{2}-4\right)
Calculate 2 to the power of 2 and get 4.
x^{2}+1-\left(3x^{4}-4x^{2}\right)
Use the distributive property to multiply x^{2} by 3x^{2}-4.
x^{2}+1-3x^{4}+4x^{2}
To find the opposite of 3x^{4}-4x^{2}, find the opposite of each term.
5x^{2}+1-3x^{4}
Combine x^{2} and 4x^{2} to get 5x^{2}.
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}