Evalwa
2\left(y-2\right)\left(2y-1\right)^{2}
Espandi
8y^{3}-24y^{2}+18y-4
Graff
Sehem
Ikkupjat fuq il-klibbord
8y^{3}-12y^{2}+6y-1-3\left(2y-1\right)^{2}
Uża teorema binomjali \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} biex tespandi \left(2y-1\right)^{3}.
8y^{3}-12y^{2}+6y-1-3\left(4y^{2}-4y+1\right)
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(2y-1\right)^{2}.
8y^{3}-12y^{2}+6y-1-12y^{2}+12y-3
Uża l-propjetà distributtiva biex timmultiplika -3 b'4y^{2}-4y+1.
8y^{3}-24y^{2}+6y-1+12y-3
Ikkombina -12y^{2} u -12y^{2} biex tikseb -24y^{2}.
8y^{3}-24y^{2}+18y-1-3
Ikkombina 6y u 12y biex tikseb 18y.
8y^{3}-24y^{2}+18y-4
Naqqas 3 minn -1 biex tikseb -4.
8y^{3}-12y^{2}+6y-1-3\left(2y-1\right)^{2}
Uża teorema binomjali \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} biex tespandi \left(2y-1\right)^{3}.
8y^{3}-12y^{2}+6y-1-3\left(4y^{2}-4y+1\right)
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(2y-1\right)^{2}.
8y^{3}-12y^{2}+6y-1-12y^{2}+12y-3
Uża l-propjetà distributtiva biex timmultiplika -3 b'4y^{2}-4y+1.
8y^{3}-24y^{2}+6y-1+12y-3
Ikkombina -12y^{2} u -12y^{2} biex tikseb -24y^{2}.
8y^{3}-24y^{2}+18y-1-3
Ikkombina 6y u 12y biex tikseb 18y.
8y^{3}-24y^{2}+18y-4
Naqqas 3 minn -1 biex tikseb -4.
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}