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990x^{3}y^{4}
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990x^{3}y^{4}
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440x^{3}\left(-y\right)^{4}\times \frac{495}{220}
Multiply 220 and 2 to get 440.
440x^{3}\left(-y\right)^{4}\times \frac{9}{4}
Reduce the fraction \frac{495}{220} to lowest terms by extracting and canceling out 55.
990x^{3}\left(-y\right)^{4}
Multiply 440 and \frac{9}{4} to get 990.
990x^{3}\left(-1\right)^{4}y^{4}
Expand \left(-y\right)^{4}.
990x^{3}\times 1y^{4}
Calculate -1 to the power of 4 and get 1.
990x^{3}y^{4}
Multiply 990 and 1 to get 990.
440x^{3}\left(-y\right)^{4}\times \frac{495}{220}
Multiply 220 and 2 to get 440.
440x^{3}\left(-y\right)^{4}\times \frac{9}{4}
Reduce the fraction \frac{495}{220} to lowest terms by extracting and canceling out 55.
990x^{3}\left(-y\right)^{4}
Multiply 440 and \frac{9}{4} to get 990.
990x^{3}\left(-1\right)^{4}y^{4}
Expand \left(-y\right)^{4}.
990x^{3}\times 1y^{4}
Calculate -1 to the power of 4 and get 1.
990x^{3}y^{4}
Multiply 990 and 1 to get 990.
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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}