Whakaoti i te (a+3b)^2-(a-4b)^2=

$$( a + 3 b ) ^ { 2 } - ( a - 4 b ) ^ { 2 } =$$

Aromātai

$$7b\left(2a-b\right)$$

Ngā Upane Otinga

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

$$a^{2}+6ab+9b^{2}-\left(a-4b\right)^{2}$$

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-4b\right)^{2}.

$$a^{2}+6ab+9b^{2}-\left(a^{2}-8ab+16b^{2}\right)$$

Hei kimi i te tauaro o a^{2}-8ab+16b^{2}, kimihia te tauaro o ia taurangi.

$$a^{2}+6ab+9b^{2}-a^{2}+8ab-16b^{2}$$

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

$$6ab+9b^{2}+8ab-16b^{2}$$

Pahekotia te 6ab me 8ab, ka 14ab.

$$14ab+9b^{2}-16b^{2}$$

Pahekotia te 9b^{2} me -16b^{2}, ka -7b^{2}.

$$14ab-7b^{2}$$

Whakaroha

$$14ab-7b^{2}$$

Ngā Upane Otinga

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

$$a^{2}+6ab+9b^{2}-\left(a-4b\right)^{2}$$

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-4b\right)^{2}.

$$a^{2}+6ab+9b^{2}-\left(a^{2}-8ab+16b^{2}\right)$$

Hei kimi i te tauaro o a^{2}-8ab+16b^{2}, kimihia te tauaro o ia taurangi.

$$a^{2}+6ab+9b^{2}-a^{2}+8ab-16b^{2}$$

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

$$6ab+9b^{2}+8ab-16b^{2}$$

Pahekotia te 6ab me 8ab, ka 14ab.

$$14ab+9b^{2}-16b^{2}$$

Pahekotia te 9b^{2} me -16b^{2}, ka -7b^{2}.

$$14ab-7b^{2}$$