Evaluate
\frac{36y^{5}+27y^{4}+14y-35}{9\left(5-2y\right)y^{4}}
Expand
\frac{36y^{5}+27y^{4}+14y-35}{9\left(5-2y\right)y^{4}}
Graph
Quiz
Polynomial
5 problems similar to:
\frac { 4 y + 3 } { - 2 y + 5 } - \frac { 7 } { 9 y ^ { 4 } } =
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\frac{\left(4y+3\right)\times 9y^{4}}{9\left(-2y+5\right)y^{4}}-\frac{7\left(-2y+5\right)}{9\left(-2y+5\right)y^{4}}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of -2y+5 and 9y^{4} is 9\left(-2y+5\right)y^{4}. Multiply \frac{4y+3}{-2y+5} times \frac{9y^{4}}{9y^{4}}. Multiply \frac{7}{9y^{4}} times \frac{-2y+5}{-2y+5}.
\frac{\left(4y+3\right)\times 9y^{4}-7\left(-2y+5\right)}{9\left(-2y+5\right)y^{4}}
Since \frac{\left(4y+3\right)\times 9y^{4}}{9\left(-2y+5\right)y^{4}} and \frac{7\left(-2y+5\right)}{9\left(-2y+5\right)y^{4}} have the same denominator, subtract them by subtracting their numerators.
\frac{36y^{5}+27y^{4}+14y-35}{9\left(-2y+5\right)y^{4}}
Do the multiplications in \left(4y+3\right)\times 9y^{4}-7\left(-2y+5\right).
\frac{36y^{5}+27y^{4}+14y-35}{-18y^{5}+45y^{4}}
Expand 9\left(-2y+5\right)y^{4}.
\frac{\left(4y+3\right)\times 9y^{4}}{9\left(-2y+5\right)y^{4}}-\frac{7\left(-2y+5\right)}{9\left(-2y+5\right)y^{4}}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of -2y+5 and 9y^{4} is 9\left(-2y+5\right)y^{4}. Multiply \frac{4y+3}{-2y+5} times \frac{9y^{4}}{9y^{4}}. Multiply \frac{7}{9y^{4}} times \frac{-2y+5}{-2y+5}.
\frac{\left(4y+3\right)\times 9y^{4}-7\left(-2y+5\right)}{9\left(-2y+5\right)y^{4}}
Since \frac{\left(4y+3\right)\times 9y^{4}}{9\left(-2y+5\right)y^{4}} and \frac{7\left(-2y+5\right)}{9\left(-2y+5\right)y^{4}} have the same denominator, subtract them by subtracting their numerators.
\frac{36y^{5}+27y^{4}+14y-35}{9\left(-2y+5\right)y^{4}}
Do the multiplications in \left(4y+3\right)\times 9y^{4}-7\left(-2y+5\right).
\frac{36y^{5}+27y^{4}+14y-35}{-18y^{5}+45y^{4}}
Expand 9\left(-2y+5\right)y^{4}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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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}