Evaluate
52\left(2x^{2}+1\right)\left(4x^{3}+1\right)x^{4}
Expand
416x^{9}+208x^{7}+104x^{6}+52x^{4}
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\left(4x^{3}+2x\right)\times 13x\left(8x^{5}+2x^{2}\right)
Combine 6x and 7x to get 13x.
\left(52x^{3}+26x\right)x\left(8x^{5}+2x^{2}\right)
Use the distributive property to multiply 4x^{3}+2x by 13.
\left(52x^{4}+26x^{2}\right)\left(8x^{5}+2x^{2}\right)
Use the distributive property to multiply 52x^{3}+26x by x.
416x^{9}+104x^{6}+208x^{7}+52x^{4}
Use the distributive property to multiply 52x^{4}+26x^{2} by 8x^{5}+2x^{2}.
\left(4x^{3}+2x\right)\times 13x\left(8x^{5}+2x^{2}\right)
Combine 6x and 7x to get 13x.
\left(52x^{3}+26x\right)x\left(8x^{5}+2x^{2}\right)
Use the distributive property to multiply 4x^{3}+2x by 13.
\left(52x^{4}+26x^{2}\right)\left(8x^{5}+2x^{2}\right)
Use the distributive property to multiply 52x^{3}+26x by x.
416x^{9}+104x^{6}+208x^{7}+52x^{4}
Use the distributive property to multiply 52x^{4}+26x^{2} by 8x^{5}+2x^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
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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}