Whakaoti i te (2a-x)(2a+x)+(a-2x)^2-(x-2a)^2

$$( 2 a - x ) ( 2 a + x ) + ( a - 2 x ) ^ { 2 } - ( x - 2 a ) ^ { 2 }$$

Aromātai

$$2x^{2}+a^{2}$$

Ngā Upane Otinga

Whakaarohia te \left(2a-x\right)\left(2a+x\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}.

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

Whakarohaina te \left(2a\right)^{2}.

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

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$4a^{2}-x^{2}+\left(a-2x\right)^{2}-\left(x-2a\right)^{2}$$

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

$$4a^{2}-x^{2}+a^{2}-4ax+4x^{2}-\left(x-2a\right)^{2}$$

Pahekotia te 4a^{2} me a^{2}, ka 5a^{2}.

$$5a^{2}-x^{2}-4ax+4x^{2}-\left(x-2a\right)^{2}$$

Pahekotia te -x^{2} me 4x^{2}, ka 3x^{2}.

$$5a^{2}+3x^{2}-4ax-\left(x-2a\right)^{2}$$

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

$$5a^{2}+3x^{2}-4ax-\left(x^{2}-4xa+4a^{2}\right)$$

Hei kimi i te tauaro o x^{2}-4xa+4a^{2}, kimihia te tauaro o ia taurangi.

$$5a^{2}+3x^{2}-4ax-x^{2}+4xa-4a^{2}$$

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

$$5a^{2}+2x^{2}-4ax+4xa-4a^{2}$$

Pahekotia te -4ax me 4xa, ka 0.

$$5a^{2}+2x^{2}-4a^{2}$$

Pahekotia te 5a^{2} me -4a^{2}, ka a^{2}.

$$a^{2}+2x^{2}$$

Whakaroha

$$2x^{2}+a^{2}$$

Ngā Upane Otinga

Whakaarohia te \left(2a-x\right)\left(2a+x\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}.

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

Whakarohaina te \left(2a\right)^{2}.

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

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$4a^{2}-x^{2}+\left(a-2x\right)^{2}-\left(x-2a\right)^{2}$$

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

$$4a^{2}-x^{2}+a^{2}-4ax+4x^{2}-\left(x-2a\right)^{2}$$

Pahekotia te 4a^{2} me a^{2}, ka 5a^{2}.

$$5a^{2}-x^{2}-4ax+4x^{2}-\left(x-2a\right)^{2}$$

Pahekotia te -x^{2} me 4x^{2}, ka 3x^{2}.

$$5a^{2}+3x^{2}-4ax-\left(x-2a\right)^{2}$$

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

$$5a^{2}+3x^{2}-4ax-\left(x^{2}-4xa+4a^{2}\right)$$

Hei kimi i te tauaro o x^{2}-4xa+4a^{2}, kimihia te tauaro o ia taurangi.

$$5a^{2}+3x^{2}-4ax-x^{2}+4xa-4a^{2}$$

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

$$5a^{2}+2x^{2}-4ax+4xa-4a^{2}$$

Pahekotia te -4ax me 4xa, ka 0.

$$5a^{2}+2x^{2}-4a^{2}$$

Pahekotia te 5a^{2} me -4a^{2}, ka a^{2}.

$$a^{2}+2x^{2}$$