Whakaoti i te (2t+1)^2-(2t+1)(2t-1)

$$( 2 t + 1 ) ^ { 2 } - ( 2 t + 1 ) ( 2 t - 1 )$$

Aromātai

$$4t+2$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(2t+1\right)^{2}.

$$4t^{2}+4t+1-\left(2t+1\right)\left(2t-1\right)$$

Whakaarohia te \left(2t+1\right)\left(2t-1\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}. Pūrua 1.

$$4t^{2}+4t+1-\left(\left(2t\right)^{2}-1\right)$$

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

$$4t^{2}+4t+1-\left(2^{2}t^{2}-1\right)$$

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

$$4t^{2}+4t+1-\left(4t^{2}-1\right)$$

Hei kimi i te tauaro o 4t^{2}-1, kimihia te tauaro o ia taurangi.

$$4t^{2}+4t+1-4t^{2}+1$$

Pahekotia te 4t^{2} me -4t^{2}, ka 0.

$$4t+1+1$$

Tāpirihia te 1 ki te 1, ka 2.

$$4t+2$$

Whakaroha

$$4t+2$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(2t+1\right)^{2}.

$$4t^{2}+4t+1-\left(2t+1\right)\left(2t-1\right)$$

Whakaarohia te \left(2t+1\right)\left(2t-1\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}. Pūrua 1.

$$4t^{2}+4t+1-\left(\left(2t\right)^{2}-1\right)$$

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

$$4t^{2}+4t+1-\left(2^{2}t^{2}-1\right)$$

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

$$4t^{2}+4t+1-\left(4t^{2}-1\right)$$

Hei kimi i te tauaro o 4t^{2}-1, kimihia te tauaro o ia taurangi.

$$4t^{2}+4t+1-4t^{2}+1$$

Pahekotia te 4t^{2} me -4t^{2}, ka 0.

$$4t+1+1$$

Tāpirihia te 1 ki te 1, ka 2.

$$4t+2$$