Evaluate
12x^{2}-9x+5
Expand
12x^{2}-9x+5
Graph
Share
Copied to clipboard
4x+1+1+\left(4x-3\right)\left(3x-1\right)
Combine 3x and x to get 4x.
4x+2+\left(4x-3\right)\left(3x-1\right)
Add 1 and 1 to get 2.
4x+2+12x^{2}-4x-9x+3
Apply the distributive property by multiplying each term of 4x-3 by each term of 3x-1.
4x+2+12x^{2}-13x+3
Combine -4x and -9x to get -13x.
-9x+2+12x^{2}+3
Combine 4x and -13x to get -9x.
-9x+5+12x^{2}
Add 2 and 3 to get 5.
4x+1+1+\left(4x-3\right)\left(3x-1\right)
Combine 3x and x to get 4x.
4x+2+\left(4x-3\right)\left(3x-1\right)
Add 1 and 1 to get 2.
4x+2+12x^{2}-4x-9x+3
Apply the distributive property by multiplying each term of 4x-3 by each term of 3x-1.
4x+2+12x^{2}-13x+3
Combine -4x and -9x to get -13x.
-9x+2+12x^{2}+3
Combine 4x and -13x to get -9x.
-9x+5+12x^{2}
Add 2 and 3 to get 5.
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}