Evalwa
y\left(15-4y-3x\right)
Espandi
15y-4y^{2}-3xy
Sehem
Ikkupjat fuq il-klibbord
\left(x+y\right)^{2}-5y\left(y+x-3\right)-x^{2}
Immultiplika x+y u x+y biex tikseb \left(x+y\right)^{2}.
x^{2}+2xy+y^{2}-5y\left(y+x-3\right)-x^{2}
Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(x+y\right)^{2}.
x^{2}+2xy+y^{2}-5y^{2}-5yx+15y-x^{2}
Uża l-propjetà distributtiva biex timmultiplika -5y b'y+x-3.
x^{2}+2xy-4y^{2}-5yx+15y-x^{2}
Ikkombina y^{2} u -5y^{2} biex tikseb -4y^{2}.
x^{2}-3xy-4y^{2}+15y-x^{2}
Ikkombina 2xy u -5yx biex tikseb -3xy.
-3xy-4y^{2}+15y
Ikkombina x^{2} u -x^{2} biex tikseb 0.
\left(x+y\right)^{2}-5y\left(y+x-3\right)-x^{2}
Immultiplika x+y u x+y biex tikseb \left(x+y\right)^{2}.
x^{2}+2xy+y^{2}-5y\left(y+x-3\right)-x^{2}
Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(x+y\right)^{2}.
x^{2}+2xy+y^{2}-5y^{2}-5yx+15y-x^{2}
Uża l-propjetà distributtiva biex timmultiplika -5y b'y+x-3.
x^{2}+2xy-4y^{2}-5yx+15y-x^{2}
Ikkombina y^{2} u -5y^{2} biex tikseb -4y^{2}.
x^{2}-3xy-4y^{2}+15y-x^{2}
Ikkombina 2xy u -5yx biex tikseb -3xy.
-3xy-4y^{2}+15y
Ikkombina x^{2} u -x^{2} biex tikseb 0.
Eżempji
Ekwazzjoni kwadratika
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometrija
4 \sin \theta \cos \theta = 2 \sin \theta
Ekwazzjoni lineari
y = 3x + 4
Aritmetika
699 * 533
Matriċi
\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]
Ekwazzjoni simultanja
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differenzazzjoni
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integrazzjoni
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limiti
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}