Whakaoti i te (a+3b-1)(a+3b+1)-(a+3b)^2-2

$$( a + 3 b - 1 ) ( a + 3 b + 1 ) - ( a + 3 b ) ^ { 2 } - 2$$

Aromātai

$$-3$$

Ngā Upane Otinga

Whakaarohia te \left(a+3b-1\right)\left(a+3b+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}, ina a=a+3b me b=1. Pūrua 1.

$$\left(a+3b\right)^{2}-1-\left(a+3b\right)^{2}-2$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+3b\right)^{2}.

$$a^{2}+6ab+9b^{2}-1-\left(a+3b\right)^{2}-2$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+3b\right)^{2}.

$$a^{2}+6ab+9b^{2}-1-\left(a^{2}+6ab+9b^{2}\right)-2$$

Hei kimi i te tauaro o a^{2}+6ab+9b^{2}, kimihia te tauaro o ia taurangi.

$$a^{2}+6ab+9b^{2}-1-a^{2}-6ab-9b^{2}-2$$

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

$$6ab+9b^{2}-1-6ab-9b^{2}-2$$

Pahekotia te 6ab me -6ab, ka 0.

$$9b^{2}-1-9b^{2}-2$$

Pahekotia te 9b^{2} me -9b^{2}, ka 0.

$$-1-2$$

Tangohia te 2 i te -1, ka -3.

$$-3$$

Tauwehe

$$-3$$