Evaluate
\frac{\left(x^{4}+28697814\right)^{2}x^{10}}{4}
Expand
\frac{x^{18}}{4}+14348907x^{14}+205891132094649x^{10}
Graph
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\left(\frac{1}{3}x^{5}\times 43046721+\frac{1}{2}x^{9}\right)^{2}
Calculate 9 to the power of 8 and get 43046721.
\left(14348907x^{5}+\frac{1}{2}x^{9}\right)^{2}
Multiply \frac{1}{3} and 43046721 to get 14348907.
205891132094649\left(x^{5}\right)^{2}+14348907x^{5}x^{9}+\frac{1}{4}\left(x^{9}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(14348907x^{5}+\frac{1}{2}x^{9}\right)^{2}.
205891132094649x^{10}+14348907x^{5}x^{9}+\frac{1}{4}\left(x^{9}\right)^{2}
To raise a power to another power, multiply the exponents. Multiply 5 and 2 to get 10.
205891132094649x^{10}+14348907x^{14}+\frac{1}{4}\left(x^{9}\right)^{2}
To multiply powers of the same base, add their exponents. Add 5 and 9 to get 14.
205891132094649x^{10}+14348907x^{14}+\frac{1}{4}x^{18}
To raise a power to another power, multiply the exponents. Multiply 9 and 2 to get 18.
\left(\frac{1}{3}x^{5}\times 43046721+\frac{1}{2}x^{9}\right)^{2}
Calculate 9 to the power of 8 and get 43046721.
\left(14348907x^{5}+\frac{1}{2}x^{9}\right)^{2}
Multiply \frac{1}{3} and 43046721 to get 14348907.
205891132094649\left(x^{5}\right)^{2}+14348907x^{5}x^{9}+\frac{1}{4}\left(x^{9}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(14348907x^{5}+\frac{1}{2}x^{9}\right)^{2}.
205891132094649x^{10}+14348907x^{5}x^{9}+\frac{1}{4}\left(x^{9}\right)^{2}
To raise a power to another power, multiply the exponents. Multiply 5 and 2 to get 10.
205891132094649x^{10}+14348907x^{14}+\frac{1}{4}\left(x^{9}\right)^{2}
To multiply powers of the same base, add their exponents. Add 5 and 9 to get 14.
205891132094649x^{10}+14348907x^{14}+\frac{1}{4}x^{18}
To raise a power to another power, multiply the exponents. Multiply 9 and 2 to get 18.
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}