Aromātai
\left(2m+n+2\right)^{2}
Whakaroha
4m^{2}+4mn+8m+n^{2}+4n+4
Pātaitai
Algebra
5 raruraru e ōrite ana ki:
4 ( m + n ) ^ { 2 } - 4 ( m + n ) ( n - 2 ) + ( n - 2 ) ^ { 2 }
Tohaina
Kua tāruatia ki te papatopenga
4\left(m^{2}+2mn+n^{2}\right)-4\left(m+n\right)\left(n-2\right)+\left(n-2\right)^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(m+n\right)^{2}.
4m^{2}+8mn+4n^{2}-4\left(m+n\right)\left(n-2\right)+\left(n-2\right)^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te m^{2}+2mn+n^{2}.
4m^{2}+8mn+4n^{2}-4\left(m+n\right)\left(n-2\right)+n^{2}-4n+4
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(n-2\right)^{2}.
4m^{2}+8mn+4n^{2}+\left(-4m-4n\right)\left(n-2\right)+n^{2}-4n+4
Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te m+n.
4m^{2}+8mn+4n^{2}-4mn+8m-4n^{2}+8n+n^{2}-4n+4
Whakamahia te āhuatanga tohatoha hei whakarea te -4m-4n ki te n-2.
4m^{2}+4mn+4n^{2}+8m-4n^{2}+8n+n^{2}-4n+4
Pahekotia te 8mn me -4mn, ka 4mn.
4m^{2}+4mn+8m+8n+n^{2}-4n+4
Pahekotia te 4n^{2} me -4n^{2}, ka 0.
4m^{2}+4mn+8m+4n+n^{2}+4
Pahekotia te 8n me -4n, ka 4n.
4\left(m^{2}+2mn+n^{2}\right)-4\left(m+n\right)\left(n-2\right)+\left(n-2\right)^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(m+n\right)^{2}.
4m^{2}+8mn+4n^{2}-4\left(m+n\right)\left(n-2\right)+\left(n-2\right)^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te m^{2}+2mn+n^{2}.
4m^{2}+8mn+4n^{2}-4\left(m+n\right)\left(n-2\right)+n^{2}-4n+4
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(n-2\right)^{2}.
4m^{2}+8mn+4n^{2}+\left(-4m-4n\right)\left(n-2\right)+n^{2}-4n+4
Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te m+n.
4m^{2}+8mn+4n^{2}-4mn+8m-4n^{2}+8n+n^{2}-4n+4
Whakamahia te āhuatanga tohatoha hei whakarea te -4m-4n ki te n-2.
4m^{2}+4mn+4n^{2}+8m-4n^{2}+8n+n^{2}-4n+4
Pahekotia te 8mn me -4mn, ka 4mn.
4m^{2}+4mn+8m+8n+n^{2}-4n+4
Pahekotia te 4n^{2} me -4n^{2}, ka 0.
4m^{2}+4mn+8m+4n+n^{2}+4
Pahekotia te 8n me -4n, ka 4n.
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}