Evaluate
\frac{3x^{2}}{16}+\frac{x}{4}-2
Expand
\frac{3x^{2}}{16}+\frac{x}{4}-2
Graph
Share
Copied to clipboard
\frac{1}{4}x\times \frac{3}{4}x+\frac{1}{4}x\left(-2\right)+\frac{3}{4}x-2
Apply the distributive property by multiplying each term of \frac{1}{4}x+1 by each term of \frac{3}{4}x-2.
\frac{1}{4}x^{2}\times \frac{3}{4}+\frac{1}{4}x\left(-2\right)+\frac{3}{4}x-2
Multiply x and x to get x^{2}.
\frac{1\times 3}{4\times 4}x^{2}+\frac{1}{4}x\left(-2\right)+\frac{3}{4}x-2
Multiply \frac{1}{4} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{16}x^{2}+\frac{1}{4}x\left(-2\right)+\frac{3}{4}x-2
Do the multiplications in the fraction \frac{1\times 3}{4\times 4}.
\frac{3}{16}x^{2}+\frac{-2}{4}x+\frac{3}{4}x-2
Multiply \frac{1}{4} and -2 to get \frac{-2}{4}.
\frac{3}{16}x^{2}-\frac{1}{2}x+\frac{3}{4}x-2
Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.
\frac{3}{16}x^{2}+\frac{1}{4}x-2
Combine -\frac{1}{2}x and \frac{3}{4}x to get \frac{1}{4}x.
\frac{1}{4}x\times \frac{3}{4}x+\frac{1}{4}x\left(-2\right)+\frac{3}{4}x-2
Apply the distributive property by multiplying each term of \frac{1}{4}x+1 by each term of \frac{3}{4}x-2.
\frac{1}{4}x^{2}\times \frac{3}{4}+\frac{1}{4}x\left(-2\right)+\frac{3}{4}x-2
Multiply x and x to get x^{2}.
\frac{1\times 3}{4\times 4}x^{2}+\frac{1}{4}x\left(-2\right)+\frac{3}{4}x-2
Multiply \frac{1}{4} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{16}x^{2}+\frac{1}{4}x\left(-2\right)+\frac{3}{4}x-2
Do the multiplications in the fraction \frac{1\times 3}{4\times 4}.
\frac{3}{16}x^{2}+\frac{-2}{4}x+\frac{3}{4}x-2
Multiply \frac{1}{4} and -2 to get \frac{-2}{4}.
\frac{3}{16}x^{2}-\frac{1}{2}x+\frac{3}{4}x-2
Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.
\frac{3}{16}x^{2}+\frac{1}{4}x-2
Combine -\frac{1}{2}x and \frac{3}{4}x to get \frac{1}{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}