Whakaoti i te 4left(2p+3qright)^2-left(3p-qright)^2

$$4 { \left(2p+3q \right) }^{ 2 } - { \left(3p-q \right) }^{ 2 }$$

Aromātai

$$\left(p+7q\right)\left(7p+5q\right)$$

Ngā Upane Otinga

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

$$4\left(4p^{2}+12pq+9q^{2}\right)-\left(3p-q\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 4p^{2}+12pq+9q^{2}.

$$16p^{2}+48pq+36q^{2}-\left(3p-q\right)^{2}$$

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

$$16p^{2}+48pq+36q^{2}-\left(9p^{2}-6pq+q^{2}\right)$$

Hei kimi i te tauaro o 9p^{2}-6pq+q^{2}, kimihia te tauaro o ia taurangi.

$$16p^{2}+48pq+36q^{2}-9p^{2}+6pq-q^{2}$$

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

$$7p^{2}+48pq+36q^{2}+6pq-q^{2}$$

Pahekotia te 48pq me 6pq, ka 54pq.

$$7p^{2}+54pq+36q^{2}-q^{2}$$

Pahekotia te 36q^{2} me -q^{2}, ka 35q^{2}.

$$7p^{2}+54pq+35q^{2}$$

Whakaroha

$$7p^{2}+54pq+35q^{2}$$

Ngā Upane Otinga

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

$$4\left(4p^{2}+12pq+9q^{2}\right)-\left(3p-q\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 4p^{2}+12pq+9q^{2}.

$$16p^{2}+48pq+36q^{2}-\left(3p-q\right)^{2}$$

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

$$16p^{2}+48pq+36q^{2}-\left(9p^{2}-6pq+q^{2}\right)$$

Hei kimi i te tauaro o 9p^{2}-6pq+q^{2}, kimihia te tauaro o ia taurangi.

$$16p^{2}+48pq+36q^{2}-9p^{2}+6pq-q^{2}$$

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

$$7p^{2}+48pq+36q^{2}+6pq-q^{2}$$

Pahekotia te 48pq me 6pq, ka 54pq.

$$7p^{2}+54pq+36q^{2}-q^{2}$$

Pahekotia te 36q^{2} me -q^{2}, ka 35q^{2}.

$$7p^{2}+54pq+35q^{2}$$