Whakaoti i te 1(2a+b)(2a-b)-2(a-b)^2

$$1 ( 2 a + b ) ( 2 a - b ) - 2 ( a - b ) ^ { 2 }$$

Aromātai

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

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 1 ki te 2a+b.

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

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

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

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

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

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

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

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

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

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te a^{2}-2ab+b^{2}.

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

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

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

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

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

Whakaroha

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

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 1 ki te 2a+b.

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

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

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

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

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

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

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

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

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

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te a^{2}-2ab+b^{2}.

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

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

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

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

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