Evaluer
x\left(x+3y\right)
Udvid
x^{2}+3xy
Aktie
Kopieret til udklipsholder
\frac{2}{3}x^{2}-xy-\left(-\frac{2}{3}xy-\frac{7}{3}xy\right)-\left(-x\right)y+\frac{1}{2}x^{2}-\frac{1}{6}x^{2}
Kombiner x^{2} og -\frac{1}{3}x^{2} for at få \frac{2}{3}x^{2}.
\frac{2}{3}x^{2}-xy-\left(-3xy\right)-\left(-x\right)y+\frac{1}{2}x^{2}-\frac{1}{6}x^{2}
Kombiner -\frac{2}{3}xy og -\frac{7}{3}xy for at få -3xy.
\frac{2}{3}x^{2}-xy+3xy-\left(-x\right)y+\frac{1}{2}x^{2}-\frac{1}{6}x^{2}
Det modsatte af -3xy er 3xy.
\frac{2}{3}x^{2}-xy+3xy-\left(-x\right)y+\frac{1}{3}x^{2}
Kombiner \frac{1}{2}x^{2} og -\frac{1}{6}x^{2} for at få \frac{1}{3}x^{2}.
\frac{2}{3}x^{2}+2xy-\left(-x\right)y+\frac{1}{3}x^{2}
Kombiner -xy og 3xy for at få 2xy.
\frac{2}{3}x^{2}+2xy+xy+\frac{1}{3}x^{2}
Multiplicer -1 og -1 for at få 1.
\frac{2}{3}x^{2}+3xy+\frac{1}{3}x^{2}
Kombiner 2xy og xy for at få 3xy.
x^{2}+3xy
Kombiner \frac{2}{3}x^{2} og \frac{1}{3}x^{2} for at få x^{2}.
\frac{2}{3}x^{2}-xy-\left(-\frac{2}{3}xy-\frac{7}{3}xy\right)-\left(-x\right)y+\frac{1}{2}x^{2}-\frac{1}{6}x^{2}
Kombiner x^{2} og -\frac{1}{3}x^{2} for at få \frac{2}{3}x^{2}.
\frac{2}{3}x^{2}-xy-\left(-3xy\right)-\left(-x\right)y+\frac{1}{2}x^{2}-\frac{1}{6}x^{2}
Kombiner -\frac{2}{3}xy og -\frac{7}{3}xy for at få -3xy.
\frac{2}{3}x^{2}-xy+3xy-\left(-x\right)y+\frac{1}{2}x^{2}-\frac{1}{6}x^{2}
Det modsatte af -3xy er 3xy.
\frac{2}{3}x^{2}-xy+3xy-\left(-x\right)y+\frac{1}{3}x^{2}
Kombiner \frac{1}{2}x^{2} og -\frac{1}{6}x^{2} for at få \frac{1}{3}x^{2}.
\frac{2}{3}x^{2}+2xy-\left(-x\right)y+\frac{1}{3}x^{2}
Kombiner -xy og 3xy for at få 2xy.
\frac{2}{3}x^{2}+2xy+xy+\frac{1}{3}x^{2}
Multiplicer -1 og -1 for at få 1.
\frac{2}{3}x^{2}+3xy+\frac{1}{3}x^{2}
Kombiner 2xy og xy for at få 3xy.
x^{2}+3xy
Kombiner \frac{2}{3}x^{2} og \frac{1}{3}x^{2} for at få x^{2}.
Eksempler
Kvadratisk ligning
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
Lineær ligning
y = 3x + 4
Aritmetik
699 * 533
Matrix
\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]
Samtidig ligning
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiering
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Grænser
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}