Whakaroha
49-21r+3r^{3}-r^{4}
Aromātai
\left(-r^{2}+3r-7\right)\left(r^{2}-7\right)
Tohaina
Kua tāruatia ki te papatopenga
\left(-r^{2}\right)r^{2}-7\left(-r^{2}\right)+3r^{3}-21r-7r^{2}+49
Whakamahia te āhuatanga tohatoha hei whakarea te -r^{2}+3r-7 ki te r^{2}-7.
\left(-r^{2}\right)r^{2}+7r^{2}+3r^{3}-21r-7r^{2}+49
Whakareatia te -7 ki te -1, ka 7.
\left(-r^{2}\right)r^{2}+3r^{3}-21r+49
Pahekotia te 7r^{2} me -7r^{2}, ka 0.
-r^{4}+3r^{3}-21r+49
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 2 kia riro ai te 4.
\left(-r^{2}\right)r^{2}-7\left(-r^{2}\right)+3r^{3}-21r-7r^{2}+49
Whakamahia te āhuatanga tohatoha hei whakarea te -r^{2}+3r-7 ki te r^{2}-7.
\left(-r^{2}\right)r^{2}+7r^{2}+3r^{3}-21r-7r^{2}+49
Whakareatia te -7 ki te -1, ka 7.
\left(-r^{2}\right)r^{2}+3r^{3}-21r+49
Pahekotia te 7r^{2} me -7r^{2}, ka 0.
-r^{4}+3r^{3}-21r+49
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 2 kia riro ai te 4.
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}