Aromātai
-b\left(3a+5b\right)
Whakaroha
-3ab-5b^{2}
Tohaina
Kua tāruatia ki te papatopenga
\frac{9}{4}a^{2}-6ab+4b^{2}-\left(-\frac{1}{2}a+3b\right)^{2}-2\left(-a\right)^{2}
Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(\frac{3}{2}a-2b\right)^{2}.
\frac{9}{4}a^{2}-6ab+4b^{2}-\left(\frac{1}{4}a^{2}-3ab+9b^{2}\right)-2\left(-a\right)^{2}
Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(-\frac{1}{2}a+3b\right)^{2}.
\frac{9}{4}a^{2}-6ab+4b^{2}-\frac{1}{4}a^{2}+3ab-9b^{2}-2\left(-a\right)^{2}
Hei kimi i te tauaro o \frac{1}{4}a^{2}-3ab+9b^{2}, kimihia te tauaro o ia taurangi.
2a^{2}-6ab+4b^{2}+3ab-9b^{2}-2\left(-a\right)^{2}
Pahekotia te \frac{9}{4}a^{2} me -\frac{1}{4}a^{2}, ka 2a^{2}.
2a^{2}-3ab+4b^{2}-9b^{2}-2\left(-a\right)^{2}
Pahekotia te -6ab me 3ab, ka -3ab.
2a^{2}-3ab-5b^{2}-2\left(-a\right)^{2}
Pahekotia te 4b^{2} me -9b^{2}, ka -5b^{2}.
2a^{2}-3ab-5b^{2}-2a^{2}
Tātaihia te -a mā te pū o 2, kia riro ko a^{2}.
-3ab-5b^{2}
Pahekotia te 2a^{2} me -2a^{2}, ka 0.
\frac{9}{4}a^{2}-6ab+4b^{2}-\left(-\frac{1}{2}a+3b\right)^{2}-2\left(-a\right)^{2}
Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(\frac{3}{2}a-2b\right)^{2}.
\frac{9}{4}a^{2}-6ab+4b^{2}-\left(\frac{1}{4}a^{2}-3ab+9b^{2}\right)-2\left(-a\right)^{2}
Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(-\frac{1}{2}a+3b\right)^{2}.
\frac{9}{4}a^{2}-6ab+4b^{2}-\frac{1}{4}a^{2}+3ab-9b^{2}-2\left(-a\right)^{2}
Hei kimi i te tauaro o \frac{1}{4}a^{2}-3ab+9b^{2}, kimihia te tauaro o ia taurangi.
2a^{2}-6ab+4b^{2}+3ab-9b^{2}-2\left(-a\right)^{2}
Pahekotia te \frac{9}{4}a^{2} me -\frac{1}{4}a^{2}, ka 2a^{2}.
2a^{2}-3ab+4b^{2}-9b^{2}-2\left(-a\right)^{2}
Pahekotia te -6ab me 3ab, ka -3ab.
2a^{2}-3ab-5b^{2}-2\left(-a\right)^{2}
Pahekotia te 4b^{2} me -9b^{2}, ka -5b^{2}.
2a^{2}-3ab-5b^{2}-2a^{2}
Tātaihia te -a mā te pū o 2, kia riro ko a^{2}.
-3ab-5b^{2}
Pahekotia te 2a^{2} me -2a^{2}, ka 0.
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}