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\frac{9BC}{2}
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\frac{9BC}{2}
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\frac{1}{2}\times 6BC\times \frac{3}{2}
Combine 5BC and BC to get 6BC.
\frac{6}{2}BC\times \frac{3}{2}
Multiply \frac{1}{2} and 6 to get \frac{6}{2}.
3BC\times \frac{3}{2}
Divide 6 by 2 to get 3.
\frac{3\times 3}{2}BC
Express 3\times \frac{3}{2} as a single fraction.
\frac{9}{2}BC
Multiply 3 and 3 to get 9.
\frac{1}{2}\times 6BC\times \frac{3}{2}
Combine 5BC and BC to get 6BC.
\frac{6}{2}BC\times \frac{3}{2}
Multiply \frac{1}{2} and 6 to get \frac{6}{2}.
3BC\times \frac{3}{2}
Divide 6 by 2 to get 3.
\frac{3\times 3}{2}BC
Express 3\times \frac{3}{2} as a single fraction.
\frac{9}{2}BC
Multiply 3 and 3 to get 9.
Examples
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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}