Whakaoti i te {l}{2(a+b)(a-b)-(a+b)^2}{+(a-b)^2}

$$\left. \begin{array} { l } { 2 ( a + b ) ( a - b ) - ( a + b ) ^ { 2 } } \\ { + ( a - b ) ^ { 2 } } \end{array} \right.$$

Aromātai

$$2\left(a^{2}-2ab-b^{2}\right)$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te a+b.

$$\left(2a+2b\right)\left(a-b\right)-\left(a+b\right)^{2}+\left(a-b\right)^{2}$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 2a+2b ki te a-b ka whakakotahi i ngā kupu rite.

$$2a^{2}-2b^{2}-\left(a+b\right)^{2}+\left(a-b\right)^{2}$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+b\right)^{2}.

$$2a^{2}-2b^{2}-\left(a^{2}+2ab+b^{2}\right)+\left(a-b\right)^{2}$$

Hei kimi i te tauaro o a^{2}+2ab+b^{2}, kimihia te tauaro o ia taurangi.

$$2a^{2}-2b^{2}-a^{2}-2ab-b^{2}+\left(a-b\right)^{2}$$

Pahekotia te 2a^{2} me -a^{2}, ka a^{2}.

$$a^{2}-2b^{2}-2ab-b^{2}+\left(a-b\right)^{2}$$

Pahekotia te -2b^{2} me -b^{2}, ka -3b^{2}.

$$a^{2}-3b^{2}-2ab+\left(a-b\right)^{2}$$

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-b\right)^{2}.

$$a^{2}-3b^{2}-2ab+a^{2}-2ab+b^{2}$$

Pahekotia te a^{2} me a^{2}, ka 2a^{2}.

$$2a^{2}-3b^{2}-2ab-2ab+b^{2}$$

Pahekotia te -2ab me -2ab, ka -4ab.

$$2a^{2}-3b^{2}-4ab+b^{2}$$

Pahekotia te -3b^{2} me b^{2}, ka -2b^{2}.

$$2a^{2}-2b^{2}-4ab$$

Whakaroha

$$2a^{2}-4ab-2b^{2}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te a+b.

$$\left(2a+2b\right)\left(a-b\right)-\left(a+b\right)^{2}+\left(a-b\right)^{2}$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 2a+2b ki te a-b ka whakakotahi i ngā kupu rite.

$$2a^{2}-2b^{2}-\left(a+b\right)^{2}+\left(a-b\right)^{2}$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+b\right)^{2}.

$$2a^{2}-2b^{2}-\left(a^{2}+2ab+b^{2}\right)+\left(a-b\right)^{2}$$

Hei kimi i te tauaro o a^{2}+2ab+b^{2}, kimihia te tauaro o ia taurangi.

$$2a^{2}-2b^{2}-a^{2}-2ab-b^{2}+\left(a-b\right)^{2}$$

Pahekotia te 2a^{2} me -a^{2}, ka a^{2}.

$$a^{2}-2b^{2}-2ab-b^{2}+\left(a-b\right)^{2}$$

Pahekotia te -2b^{2} me -b^{2}, ka -3b^{2}.

$$a^{2}-3b^{2}-2ab+\left(a-b\right)^{2}$$

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-b\right)^{2}.

$$a^{2}-3b^{2}-2ab+a^{2}-2ab+b^{2}$$

Pahekotia te a^{2} me a^{2}, ka 2a^{2}.

$$2a^{2}-3b^{2}-2ab-2ab+b^{2}$$

Pahekotia te -2ab me -2ab, ka -4ab.

$$2a^{2}-3b^{2}-4ab+b^{2}$$

Pahekotia te -3b^{2} me b^{2}, ka -2b^{2}.

$$2a^{2}-2b^{2}-4ab$$