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7ca^{3}b^{4}
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7ca^{3}b^{4}
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\frac{8}{13}a^{2}b\left(\frac{7}{2}b^{2}-\frac{1}{4}b^{2}\right)\left(\frac{1}{3}abc+3abc+\frac{1}{6}abc\right)
Combine 4b^{2} and -\frac{1}{2}b^{2} to get \frac{7}{2}b^{2}.
\frac{8}{13}a^{2}b\times \frac{13}{4}b^{2}\left(\frac{1}{3}abc+3abc+\frac{1}{6}abc\right)
Combine \frac{7}{2}b^{2} and -\frac{1}{4}b^{2} to get \frac{13}{4}b^{2}.
2a^{2}bb^{2}\left(\frac{1}{3}abc+3abc+\frac{1}{6}abc\right)
Multiply \frac{8}{13} and \frac{13}{4} to get 2.
2a^{2}b^{3}\left(\frac{1}{3}abc+3abc+\frac{1}{6}abc\right)
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
2a^{2}b^{3}\left(\frac{10}{3}abc+\frac{1}{6}abc\right)
Combine \frac{1}{3}abc and 3abc to get \frac{10}{3}abc.
2a^{2}b^{3}\times \frac{7}{2}abc
Combine \frac{10}{3}abc and \frac{1}{6}abc to get \frac{7}{2}abc.
7a^{2}b^{3}abc
Multiply 2 and \frac{7}{2} to get 7.
7a^{3}b^{3}bc
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
7a^{3}b^{4}c
To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.
\frac{8}{13}a^{2}b\left(\frac{7}{2}b^{2}-\frac{1}{4}b^{2}\right)\left(\frac{1}{3}abc+3abc+\frac{1}{6}abc\right)
Combine 4b^{2} and -\frac{1}{2}b^{2} to get \frac{7}{2}b^{2}.
\frac{8}{13}a^{2}b\times \frac{13}{4}b^{2}\left(\frac{1}{3}abc+3abc+\frac{1}{6}abc\right)
Combine \frac{7}{2}b^{2} and -\frac{1}{4}b^{2} to get \frac{13}{4}b^{2}.
2a^{2}bb^{2}\left(\frac{1}{3}abc+3abc+\frac{1}{6}abc\right)
Multiply \frac{8}{13} and \frac{13}{4} to get 2.
2a^{2}b^{3}\left(\frac{1}{3}abc+3abc+\frac{1}{6}abc\right)
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
2a^{2}b^{3}\left(\frac{10}{3}abc+\frac{1}{6}abc\right)
Combine \frac{1}{3}abc and 3abc to get \frac{10}{3}abc.
2a^{2}b^{3}\times \frac{7}{2}abc
Combine \frac{10}{3}abc and \frac{1}{6}abc to get \frac{7}{2}abc.
7a^{2}b^{3}abc
Multiply 2 and \frac{7}{2} to get 7.
7a^{3}b^{3}bc
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
7a^{3}b^{4}c
To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}