Aromātai
\frac{2\left(\left(3x-1\right)^{2}+4\right)}{9}
Whakaroha
2x^{2}-\frac{4x}{3}+\frac{10}{9}
Graph
Tohaina
Kua tāruatia ki te papatopenga
2\left(x^{2}-\frac{2}{3}x+\frac{1}{9}\right)+1-\frac{1}{9}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-\frac{1}{3}\right)^{2}.
2x^{2}-\frac{4}{3}x+\frac{2}{9}+1-\frac{1}{9}
Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x^{2}-\frac{2}{3}x+\frac{1}{9}.
2x^{2}-\frac{4}{3}x+\frac{11}{9}-\frac{1}{9}
Tāpirihia te \frac{2}{9} ki te 1, ka \frac{11}{9}.
2x^{2}-\frac{4}{3}x+\frac{10}{9}
Tangohia te \frac{1}{9} i te \frac{11}{9}, ka \frac{10}{9}.
2\left(x^{2}-\frac{2}{3}x+\frac{1}{9}\right)+1-\frac{1}{9}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-\frac{1}{3}\right)^{2}.
2x^{2}-\frac{4}{3}x+\frac{2}{9}+1-\frac{1}{9}
Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x^{2}-\frac{2}{3}x+\frac{1}{9}.
2x^{2}-\frac{4}{3}x+\frac{11}{9}-\frac{1}{9}
Tāpirihia te \frac{2}{9} ki te 1, ka \frac{11}{9}.
2x^{2}-\frac{4}{3}x+\frac{10}{9}
Tangohia te \frac{1}{9} i te \frac{11}{9}, ka \frac{10}{9}.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
Āhuahanga
4 \sin \theta \cos \theta = 2 \sin \theta
whārite paerangi
y = 3x + 4
Arithmetic
699 * 533
Poukapa
\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]
whārite Simultaneous
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Whakarerekētanga
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Whakaurunga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Ngā Tepe
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}