\frac{ 5 }{ 9-24 { t }^{ } } \frac{ 3t-2 }{ 8 { t }^{ 2 } +5t-3 }
Evaluate
-\frac{5\left(3t-2\right)}{3\left(t+1\right)\left(3-8t\right)^{2}}
Expand
-\frac{5\left(3t-2\right)}{3\left(8t-3\right)\left(8t^{2}+5t-3\right)}
Share
Copied to clipboard
\frac{5}{9-24t}\times \frac{3t-2}{8t^{2}+5t-3}
Calculate t to the power of 1 and get t.
\frac{5\left(3t-2\right)}{\left(9-24t\right)\left(8t^{2}+5t-3\right)}
Multiply \frac{5}{9-24t} times \frac{3t-2}{8t^{2}+5t-3} by multiplying numerator times numerator and denominator times denominator.
\frac{15t-10}{\left(9-24t\right)\left(8t^{2}+5t-3\right)}
Use the distributive property to multiply 5 by 3t-2.
\frac{15t-10}{-48t^{2}+117t-27-192t^{3}}
Use the distributive property to multiply 9-24t by 8t^{2}+5t-3 and combine like terms.
\frac{5}{9-24t}\times \frac{3t-2}{8t^{2}+5t-3}
Calculate t to the power of 1 and get t.
\frac{5\left(3t-2\right)}{\left(9-24t\right)\left(8t^{2}+5t-3\right)}
Multiply \frac{5}{9-24t} times \frac{3t-2}{8t^{2}+5t-3} by multiplying numerator times numerator and denominator times denominator.
\frac{15t-10}{\left(9-24t\right)\left(8t^{2}+5t-3\right)}
Use the distributive property to multiply 5 by 3t-2.
\frac{15t-10}{-48t^{2}+117t-27-192t^{3}}
Use the distributive property to multiply 9-24t by 8t^{2}+5t-3 and combine like terms.
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}