Aromātai
\left(p-8\right)^{2}-39
Whakaroha
p^{2}-16p+25
Pātaitai
Polynomial
5 raruraru e ōrite ana ki:
( 2 p - 3 ) ^ { 2 } - ( p - 4 ) ( p + 4 ) - 2 p ( p + 2 )
Tohaina
Kua tāruatia ki te papatopenga
4p^{2}-12p+9-\left(p-4\right)\left(p+4\right)-2p\left(p+2\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2p-3\right)^{2}.
4p^{2}-12p+9-\left(p^{2}-16\right)-2p\left(p+2\right)
Whakaarohia te \left(p-4\right)\left(p+4\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Pūrua 4.
4p^{2}-12p+9-p^{2}+16-2p\left(p+2\right)
Hei kimi i te tauaro o p^{2}-16, kimihia te tauaro o ia taurangi.
3p^{2}-12p+9+16-2p\left(p+2\right)
Pahekotia te 4p^{2} me -p^{2}, ka 3p^{2}.
3p^{2}-12p+25-2p\left(p+2\right)
Tāpirihia te 9 ki te 16, ka 25.
3p^{2}-12p+25-2p^{2}-4p
Whakamahia te āhuatanga tohatoha hei whakarea te -2p ki te p+2.
p^{2}-12p+25-4p
Pahekotia te 3p^{2} me -2p^{2}, ka p^{2}.
p^{2}-16p+25
Pahekotia te -12p me -4p, ka -16p.
4p^{2}-12p+9-\left(p-4\right)\left(p+4\right)-2p\left(p+2\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2p-3\right)^{2}.
4p^{2}-12p+9-\left(p^{2}-16\right)-2p\left(p+2\right)
Whakaarohia te \left(p-4\right)\left(p+4\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Pūrua 4.
4p^{2}-12p+9-p^{2}+16-2p\left(p+2\right)
Hei kimi i te tauaro o p^{2}-16, kimihia te tauaro o ia taurangi.
3p^{2}-12p+9+16-2p\left(p+2\right)
Pahekotia te 4p^{2} me -p^{2}, ka 3p^{2}.
3p^{2}-12p+25-2p\left(p+2\right)
Tāpirihia te 9 ki te 16, ka 25.
3p^{2}-12p+25-2p^{2}-4p
Whakamahia te āhuatanga tohatoha hei whakarea te -2p ki te p+2.
p^{2}-12p+25-4p
Pahekotia te 3p^{2} me -2p^{2}, ka p^{2}.
p^{2}-16p+25
Pahekotia te -12p me -4p, ka -16p.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
Āhuahanga
4 \sin \theta \cos \theta = 2 \sin \theta
whārite paerangi
y = 3x + 4
Arithmetic
699 * 533
Poukapa
\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
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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}