Evalwa
\left(4-5x\right)\left(2x-3\right)
Espandi
-10x^{2}+23x-12
Graff
Sehem
Ikkupjat fuq il-klibbord
1+3x-3-10\left(x-1\right)^{2}
Immultiplika x-1 u x-1 biex tikseb \left(x-1\right)^{2}.
-2+3x-10\left(x-1\right)^{2}
Naqqas 3 minn 1 biex tikseb -2.
-2+3x-10\left(x^{2}-2x+1\right)
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-1\right)^{2}.
-2+3x-10x^{2}+20x-10
Uża l-propjetà distributtiva biex timmultiplika -10 b'x^{2}-2x+1.
-2+23x-10x^{2}-10
Ikkombina 3x u 20x biex tikseb 23x.
-12+23x-10x^{2}
Naqqas 10 minn -2 biex tikseb -12.
1+3x-3-10\left(x-1\right)^{2}
Immultiplika x-1 u x-1 biex tikseb \left(x-1\right)^{2}.
-2+3x-10\left(x-1\right)^{2}
Naqqas 3 minn 1 biex tikseb -2.
-2+3x-10\left(x^{2}-2x+1\right)
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-1\right)^{2}.
-2+3x-10x^{2}+20x-10
Uża l-propjetà distributtiva biex timmultiplika -10 b'x^{2}-2x+1.
-2+23x-10x^{2}-10
Ikkombina 3x u 20x biex tikseb 23x.
-12+23x-10x^{2}
Naqqas 10 minn -2 biex tikseb -12.
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}