Evaluate
\frac{x\left(x+3\right)}{4\left(x+1\right)}
Expand
\frac{x^{2}+3x}{4\left(x+1\right)}
Graph
Quiz
Polynomial
5 problems similar to:
\frac { x } { 2 } - [ \frac { x } { 4 } - \frac { x } { 2 + 2 x } ]
Share
Copied to clipboard
\frac{x}{2}-\left(\frac{x}{4}-\frac{x}{2\left(x+1\right)}\right)
Factor 2+2x.
\frac{x}{2}-\left(\frac{x\left(x+1\right)}{4\left(x+1\right)}-\frac{2x}{4\left(x+1\right)}\right)
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 2\left(x+1\right) is 4\left(x+1\right). Multiply \frac{x}{4} times \frac{x+1}{x+1}. Multiply \frac{x}{2\left(x+1\right)} times \frac{2}{2}.
\frac{x}{2}-\frac{x\left(x+1\right)-2x}{4\left(x+1\right)}
Since \frac{x\left(x+1\right)}{4\left(x+1\right)} and \frac{2x}{4\left(x+1\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{x}{2}-\frac{x^{2}+x-2x}{4\left(x+1\right)}
Do the multiplications in x\left(x+1\right)-2x.
\frac{x}{2}-\frac{x^{2}-x}{4\left(x+1\right)}
Combine like terms in x^{2}+x-2x.
\frac{x\times 2\left(x+1\right)}{4\left(x+1\right)}-\frac{x^{2}-x}{4\left(x+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 4\left(x+1\right) is 4\left(x+1\right). Multiply \frac{x}{2} times \frac{2\left(x+1\right)}{2\left(x+1\right)}.
\frac{x\times 2\left(x+1\right)-\left(x^{2}-x\right)}{4\left(x+1\right)}
Since \frac{x\times 2\left(x+1\right)}{4\left(x+1\right)} and \frac{x^{2}-x}{4\left(x+1\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{2x^{2}+2x-x^{2}+x}{4\left(x+1\right)}
Do the multiplications in x\times 2\left(x+1\right)-\left(x^{2}-x\right).
\frac{x^{2}+3x}{4\left(x+1\right)}
Combine like terms in 2x^{2}+2x-x^{2}+x.
\frac{x^{2}+3x}{4x+4}
Expand 4\left(x+1\right).
\frac{x}{2}-\left(\frac{x}{4}-\frac{x}{2\left(x+1\right)}\right)
Factor 2+2x.
\frac{x}{2}-\left(\frac{x\left(x+1\right)}{4\left(x+1\right)}-\frac{2x}{4\left(x+1\right)}\right)
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 2\left(x+1\right) is 4\left(x+1\right). Multiply \frac{x}{4} times \frac{x+1}{x+1}. Multiply \frac{x}{2\left(x+1\right)} times \frac{2}{2}.
\frac{x}{2}-\frac{x\left(x+1\right)-2x}{4\left(x+1\right)}
Since \frac{x\left(x+1\right)}{4\left(x+1\right)} and \frac{2x}{4\left(x+1\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{x}{2}-\frac{x^{2}+x-2x}{4\left(x+1\right)}
Do the multiplications in x\left(x+1\right)-2x.
\frac{x}{2}-\frac{x^{2}-x}{4\left(x+1\right)}
Combine like terms in x^{2}+x-2x.
\frac{x\times 2\left(x+1\right)}{4\left(x+1\right)}-\frac{x^{2}-x}{4\left(x+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 4\left(x+1\right) is 4\left(x+1\right). Multiply \frac{x}{2} times \frac{2\left(x+1\right)}{2\left(x+1\right)}.
\frac{x\times 2\left(x+1\right)-\left(x^{2}-x\right)}{4\left(x+1\right)}
Since \frac{x\times 2\left(x+1\right)}{4\left(x+1\right)} and \frac{x^{2}-x}{4\left(x+1\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{2x^{2}+2x-x^{2}+x}{4\left(x+1\right)}
Do the multiplications in x\times 2\left(x+1\right)-\left(x^{2}-x\right).
\frac{x^{2}+3x}{4\left(x+1\right)}
Combine like terms in 2x^{2}+2x-x^{2}+x.
\frac{x^{2}+3x}{4x+4}
Expand 4\left(x+1\right).
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}