Evaluate
\frac{7\left(3x+5\right)}{10\left(4x-1\right)}
Expand
\frac{7\left(3x+5\right)}{10\left(4x-1\right)}
Graph
Quiz
Polynomial
5 problems similar to:
( \frac { 2 x + 5 x } { 8 x - 2 } ) ( \frac { 5 + 3 x } { 5 x } )
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\frac{7x}{8x-2}\times \frac{5+3x}{5x}
Combine 2x and 5x to get 7x.
\frac{7x\left(5+3x\right)}{\left(8x-2\right)\times 5x}
Multiply \frac{7x}{8x-2} times \frac{5+3x}{5x} by multiplying numerator times numerator and denominator times denominator.
\frac{7\left(3x+5\right)}{5\left(8x-2\right)}
Cancel out x in both numerator and denominator.
\frac{21x+35}{5\left(8x-2\right)}
Use the distributive property to multiply 7 by 3x+5.
\frac{21x+35}{40x-10}
Use the distributive property to multiply 5 by 8x-2.
\frac{7x}{8x-2}\times \frac{5+3x}{5x}
Combine 2x and 5x to get 7x.
\frac{7x\left(5+3x\right)}{\left(8x-2\right)\times 5x}
Multiply \frac{7x}{8x-2} times \frac{5+3x}{5x} by multiplying numerator times numerator and denominator times denominator.
\frac{7\left(3x+5\right)}{5\left(8x-2\right)}
Cancel out x in both numerator and denominator.
\frac{21x+35}{5\left(8x-2\right)}
Use the distributive property to multiply 7 by 3x+5.
\frac{21x+35}{40x-10}
Use the distributive property to multiply 5 by 8x-2.
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}