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6a-3b
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6a-3b
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\frac{3}{4}\times 8a+\frac{3}{4}\left(-4\right)b
Use the distributive property to multiply \frac{3}{4} by 8a-4b.
\frac{3\times 8}{4}a+\frac{3}{4}\left(-4\right)b
Express \frac{3}{4}\times 8 as a single fraction.
\frac{24}{4}a+\frac{3}{4}\left(-4\right)b
Multiply 3 and 8 to get 24.
6a+\frac{3}{4}\left(-4\right)b
Divide 24 by 4 to get 6.
6a+\frac{3\left(-4\right)}{4}b
Express \frac{3}{4}\left(-4\right) as a single fraction.
6a+\frac{-12}{4}b
Multiply 3 and -4 to get -12.
6a-3b
Divide -12 by 4 to get -3.
\frac{3}{4}\times 8a+\frac{3}{4}\left(-4\right)b
Use the distributive property to multiply \frac{3}{4} by 8a-4b.
\frac{3\times 8}{4}a+\frac{3}{4}\left(-4\right)b
Express \frac{3}{4}\times 8 as a single fraction.
\frac{24}{4}a+\frac{3}{4}\left(-4\right)b
Multiply 3 and 8 to get 24.
6a+\frac{3}{4}\left(-4\right)b
Divide 24 by 4 to get 6.
6a+\frac{3\left(-4\right)}{4}b
Express \frac{3}{4}\left(-4\right) as a single fraction.
6a+\frac{-12}{4}b
Multiply 3 and -4 to get -12.
6a-3b
Divide -12 by 4 to get -3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}