Evaluate
\left(-6w^{3}+5w-16\right)^{2}+w^{3}+4w^{2}-10w+7
Expand
36w^{6}-60w^{4}+193w^{3}+29w^{2}-170w+263
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w^{3}+4w^{2}-10w+7+36w^{6}-60w^{4}+192w^{3}+25w^{2}-160w+256
Square -6w^{3}+5w-16.
193w^{3}+4w^{2}-10w+7+36w^{6}-60w^{4}+25w^{2}-160w+256
Combine w^{3} and 192w^{3} to get 193w^{3}.
193w^{3}+29w^{2}-10w+7+36w^{6}-60w^{4}-160w+256
Combine 4w^{2} and 25w^{2} to get 29w^{2}.
193w^{3}+29w^{2}-170w+7+36w^{6}-60w^{4}+256
Combine -10w and -160w to get -170w.
193w^{3}+29w^{2}-170w+263+36w^{6}-60w^{4}
Add 7 and 256 to get 263.
w^{3}+4w^{2}-10w+7+36w^{6}-60w^{4}+192w^{3}+25w^{2}-160w+256
Square -6w^{3}+5w-16.
193w^{3}+4w^{2}-10w+7+36w^{6}-60w^{4}+25w^{2}-160w+256
Combine w^{3} and 192w^{3} to get 193w^{3}.
193w^{3}+29w^{2}-10w+7+36w^{6}-60w^{4}-160w+256
Combine 4w^{2} and 25w^{2} to get 29w^{2}.
193w^{3}+29w^{2}-170w+7+36w^{6}-60w^{4}+256
Combine -10w and -160w to get -170w.
193w^{3}+29w^{2}-170w+263+36w^{6}-60w^{4}
Add 7 and 256 to get 263.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}