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\frac{16}{5x}
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\frac{16}{5x}
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\frac{7x+3-\left(-9x+3\right)}{5x^{2}}
Since \frac{7x+3}{5x^{2}} and \frac{-9x+3}{5x^{2}} have the same denominator, subtract them by subtracting their numerators.
\frac{7x+3+9x-3}{5x^{2}}
Do the multiplications in 7x+3-\left(-9x+3\right).
\frac{16x}{5x^{2}}
Combine like terms in 7x+3+9x-3.
\frac{16}{5x}
Cancel out x in both numerator and denominator.
\frac{7x+3-\left(-9x+3\right)}{5x^{2}}
Since \frac{7x+3}{5x^{2}} and \frac{-9x+3}{5x^{2}} have the same denominator, subtract them by subtracting their numerators.
\frac{7x+3+9x-3}{5x^{2}}
Do the multiplications in 7x+3-\left(-9x+3\right).
\frac{16x}{5x^{2}}
Combine like terms in 7x+3+9x-3.
\frac{16}{5x}
Cancel out x in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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}