Evaluate
\frac{\left(x-3\right)\left(x+8\right)}{4}
Expand
\frac{x^{2}}{4}+\frac{5x}{4}-6
Graph
Share
Copied to clipboard
\frac{1}{4}xx+\frac{1}{4}x\left(-3\right)+2x-6
Apply the distributive property by multiplying each term of \frac{1}{4}x+2 by each term of x-3.
\frac{1}{4}x^{2}+\frac{1}{4}x\left(-3\right)+2x-6
Multiply x and x to get x^{2}.
\frac{1}{4}x^{2}+\frac{-3}{4}x+2x-6
Multiply \frac{1}{4} and -3 to get \frac{-3}{4}.
\frac{1}{4}x^{2}-\frac{3}{4}x+2x-6
Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.
\frac{1}{4}x^{2}+\frac{5}{4}x-6
Combine -\frac{3}{4}x and 2x to get \frac{5}{4}x.
\frac{1}{4}xx+\frac{1}{4}x\left(-3\right)+2x-6
Apply the distributive property by multiplying each term of \frac{1}{4}x+2 by each term of x-3.
\frac{1}{4}x^{2}+\frac{1}{4}x\left(-3\right)+2x-6
Multiply x and x to get x^{2}.
\frac{1}{4}x^{2}+\frac{-3}{4}x+2x-6
Multiply \frac{1}{4} and -3 to get \frac{-3}{4}.
\frac{1}{4}x^{2}-\frac{3}{4}x+2x-6
Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.
\frac{1}{4}x^{2}+\frac{5}{4}x-6
Combine -\frac{3}{4}x and 2x to get \frac{5}{4}x.
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}