Evaluate
\frac{7x^{2}}{2}+3
Expand
\frac{7x^{2}}{2}+3
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-\left(2x\right)^{2}+\frac{3}{2}x^{2}\times 5+3
Multiply x and x to get x^{2}.
-2^{2}x^{2}+\frac{3}{2}x^{2}\times 5+3
Expand \left(2x\right)^{2}.
-4x^{2}+\frac{3}{2}x^{2}\times 5+3
Calculate 2 to the power of 2 and get 4.
-4x^{2}+\frac{15}{2}x^{2}+3
Multiply \frac{3}{2} and 5 to get \frac{15}{2}.
\frac{7}{2}x^{2}+3
Combine -4x^{2} and \frac{15}{2}x^{2} to get \frac{7}{2}x^{2}.
-\left(2x\right)^{2}+\frac{3}{2}x^{2}\times 5+3
Multiply x and x to get x^{2}.
-2^{2}x^{2}+\frac{3}{2}x^{2}\times 5+3
Expand \left(2x\right)^{2}.
-4x^{2}+\frac{3}{2}x^{2}\times 5+3
Calculate 2 to the power of 2 and get 4.
-4x^{2}+\frac{15}{2}x^{2}+3
Multiply \frac{3}{2} and 5 to get \frac{15}{2}.
\frac{7}{2}x^{2}+3
Combine -4x^{2} and \frac{15}{2}x^{2} to get \frac{7}{2}x^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}