Evaluate
\frac{16x-1}{4\left(3x+1\right)}
Expand
\frac{16x-1}{4\left(3x+1\right)}
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\frac{4x-5}{12x+4}+1
Divide 3x by 3x to get 1.
\frac{4x-5}{4\left(3x+1\right)}+1
Factor 12x+4.
\frac{4x-5}{4\left(3x+1\right)}+\frac{4\left(3x+1\right)}{4\left(3x+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{4\left(3x+1\right)}{4\left(3x+1\right)}.
\frac{4x-5+4\left(3x+1\right)}{4\left(3x+1\right)}
Since \frac{4x-5}{4\left(3x+1\right)} and \frac{4\left(3x+1\right)}{4\left(3x+1\right)} have the same denominator, add them by adding their numerators.
\frac{4x-5+12x+4}{4\left(3x+1\right)}
Do the multiplications in 4x-5+4\left(3x+1\right).
\frac{16x-1}{4\left(3x+1\right)}
Combine like terms in 4x-5+12x+4.
\frac{16x-1}{12x+4}
Expand 4\left(3x+1\right).
\frac{4x-5}{12x+4}+1
Divide 3x by 3x to get 1.
\frac{4x-5}{4\left(3x+1\right)}+1
Factor 12x+4.
\frac{4x-5}{4\left(3x+1\right)}+\frac{4\left(3x+1\right)}{4\left(3x+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{4\left(3x+1\right)}{4\left(3x+1\right)}.
\frac{4x-5+4\left(3x+1\right)}{4\left(3x+1\right)}
Since \frac{4x-5}{4\left(3x+1\right)} and \frac{4\left(3x+1\right)}{4\left(3x+1\right)} have the same denominator, add them by adding their numerators.
\frac{4x-5+12x+4}{4\left(3x+1\right)}
Do the multiplications in 4x-5+4\left(3x+1\right).
\frac{16x-1}{4\left(3x+1\right)}
Combine like terms in 4x-5+12x+4.
\frac{16x-1}{12x+4}
Expand 4\left(3x+1\right).
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}