Aromātai
y\left(15-4y-3x\right)
Whakaroha
15y-4y^{2}-3xy
Tohaina
Kua tāruatia ki te papatopenga
\left(x+y\right)^{2}-5y\left(y+x-3\right)-x^{2}
Whakareatia te x+y ki te x+y, ka \left(x+y\right)^{2}.
x^{2}+2xy+y^{2}-5y\left(y+x-3\right)-x^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+y\right)^{2}.
x^{2}+2xy+y^{2}-5y^{2}-5yx+15y-x^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te -5y ki te y+x-3.
x^{2}+2xy-4y^{2}-5yx+15y-x^{2}
Pahekotia te y^{2} me -5y^{2}, ka -4y^{2}.
x^{2}-3xy-4y^{2}+15y-x^{2}
Pahekotia te 2xy me -5yx, ka -3xy.
-3xy-4y^{2}+15y
Pahekotia te x^{2} me -x^{2}, ka 0.
\left(x+y\right)^{2}-5y\left(y+x-3\right)-x^{2}
Whakareatia te x+y ki te x+y, ka \left(x+y\right)^{2}.
x^{2}+2xy+y^{2}-5y\left(y+x-3\right)-x^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+y\right)^{2}.
x^{2}+2xy+y^{2}-5y^{2}-5yx+15y-x^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te -5y ki te y+x-3.
x^{2}+2xy-4y^{2}-5yx+15y-x^{2}
Pahekotia te y^{2} me -5y^{2}, ka -4y^{2}.
x^{2}-3xy-4y^{2}+15y-x^{2}
Pahekotia te 2xy me -5yx, ka -3xy.
-3xy-4y^{2}+15y
Pahekotia te x^{2} me -x^{2}, ka 0.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
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\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
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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}