Evaluate
\frac{4y^{2}}{25}-\frac{9x^{2}}{100}
Expand
\frac{4y^{2}}{25}-\frac{9x^{2}}{100}
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0.12xy-0.09x^{2}+0.16y^{2}-0.12yx
Apply the distributive property by multiplying each term of -0.3x-0.4y by each term of -0.4y+0.3x.
-0.09x^{2}+0.16y^{2}
Combine 0.12xy and -0.12yx to get 0.
0.12xy-0.09x^{2}+0.16y^{2}-0.12yx
Apply the distributive property by multiplying each term of -0.3x-0.4y by each term of -0.4y+0.3x.
-0.09x^{2}+0.16y^{2}
Combine 0.12xy and -0.12yx to get 0.
Examples
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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
Arithmetic
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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
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