Aromātai
13y^{2}-12xy-5x^{2}
Whakaroha
13y^{2}-12xy-5x^{2}
Tohaina
Kua tāruatia ki te papatopenga
4x^{2}-12xy+9y^{2}-\left(2y+3x\right)\left(3x-2y\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-3y\right)^{2}.
4x^{2}-12xy+9y^{2}-\left(\left(3x\right)^{2}-\left(2y\right)^{2}\right)
Whakaarohia te \left(2y+3x\right)\left(3x-2y\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
4x^{2}-12xy+9y^{2}-\left(3^{2}x^{2}-\left(2y\right)^{2}\right)
Whakarohaina te \left(3x\right)^{2}.
4x^{2}-12xy+9y^{2}-\left(9x^{2}-\left(2y\right)^{2}\right)
Tātaihia te 3 mā te pū o 2, kia riro ko 9.
4x^{2}-12xy+9y^{2}-\left(9x^{2}-2^{2}y^{2}\right)
Whakarohaina te \left(2y\right)^{2}.
4x^{2}-12xy+9y^{2}-\left(9x^{2}-4y^{2}\right)
Tātaihia te 2 mā te pū o 2, kia riro ko 4.
4x^{2}-12xy+9y^{2}-9x^{2}+4y^{2}
Hei kimi i te tauaro o 9x^{2}-4y^{2}, kimihia te tauaro o ia taurangi.
-5x^{2}-12xy+9y^{2}+4y^{2}
Pahekotia te 4x^{2} me -9x^{2}, ka -5x^{2}.
-5x^{2}-12xy+13y^{2}
Pahekotia te 9y^{2} me 4y^{2}, ka 13y^{2}.
4x^{2}-12xy+9y^{2}-\left(2y+3x\right)\left(3x-2y\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-3y\right)^{2}.
4x^{2}-12xy+9y^{2}-\left(\left(3x\right)^{2}-\left(2y\right)^{2}\right)
Whakaarohia te \left(2y+3x\right)\left(3x-2y\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
4x^{2}-12xy+9y^{2}-\left(3^{2}x^{2}-\left(2y\right)^{2}\right)
Whakarohaina te \left(3x\right)^{2}.
4x^{2}-12xy+9y^{2}-\left(9x^{2}-\left(2y\right)^{2}\right)
Tātaihia te 3 mā te pū o 2, kia riro ko 9.
4x^{2}-12xy+9y^{2}-\left(9x^{2}-2^{2}y^{2}\right)
Whakarohaina te \left(2y\right)^{2}.
4x^{2}-12xy+9y^{2}-\left(9x^{2}-4y^{2}\right)
Tātaihia te 2 mā te pū o 2, kia riro ko 4.
4x^{2}-12xy+9y^{2}-9x^{2}+4y^{2}
Hei kimi i te tauaro o 9x^{2}-4y^{2}, kimihia te tauaro o ia taurangi.
-5x^{2}-12xy+9y^{2}+4y^{2}
Pahekotia te 4x^{2} me -9x^{2}, ka -5x^{2}.
-5x^{2}-12xy+13y^{2}
Pahekotia te 9y^{2} me 4y^{2}, ka 13y^{2}.
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}