Evaluate
3x^{2}-\frac{3}{4}
Expand
3x^{2}-\frac{3}{4}
Graph
Quiz
Polynomial
5 problems similar to:
3 ( \frac { 1 } { 2 } + x ) ^ { 2 } - 3 ( \frac { 1 } { 2 } + x )
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3\left(\frac{1}{4}+x+x^{2}\right)-3\left(\frac{1}{2}+x\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\frac{1}{2}+x\right)^{2}.
\frac{3}{4}+3x+3x^{2}-3\left(\frac{1}{2}+x\right)
Use the distributive property to multiply 3 by \frac{1}{4}+x+x^{2}.
\frac{3}{4}+3x+3x^{2}-\frac{3}{2}-3x
Use the distributive property to multiply -3 by \frac{1}{2}+x.
-\frac{3}{4}+3x+3x^{2}-3x
Subtract \frac{3}{2} from \frac{3}{4} to get -\frac{3}{4}.
-\frac{3}{4}+3x^{2}
Combine 3x and -3x to get 0.
3\left(\frac{1}{4}+x+x^{2}\right)-3\left(\frac{1}{2}+x\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\frac{1}{2}+x\right)^{2}.
\frac{3}{4}+3x+3x^{2}-3\left(\frac{1}{2}+x\right)
Use the distributive property to multiply 3 by \frac{1}{4}+x+x^{2}.
\frac{3}{4}+3x+3x^{2}-\frac{3}{2}-3x
Use the distributive property to multiply -3 by \frac{1}{2}+x.
-\frac{3}{4}+3x+3x^{2}-3x
Subtract \frac{3}{2} from \frac{3}{4} to get -\frac{3}{4}.
-\frac{3}{4}+3x^{2}
Combine 3x and -3x to get 0.
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}