Whakaoti i te (25p-15q)^2-(15p-25q)^2

$$( 25 p - 15 q ) ^ { 2 } - ( 15 p - 25 q ) ^ { 2 }$$

Aromātai

$$400\left(p^{2}-q^{2}\right)$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(25p-15q\right)^{2}.

$$625p^{2}-750pq+225q^{2}-\left(15p-25q\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(15p-25q\right)^{2}.

$$625p^{2}-750pq+225q^{2}-\left(225p^{2}-750pq+625q^{2}\right)$$

Hei kimi i te tauaro o 225p^{2}-750pq+625q^{2}, kimihia te tauaro o ia taurangi.

$$625p^{2}-750pq+225q^{2}-225p^{2}+750pq-625q^{2}$$

Pahekotia te 625p^{2} me -225p^{2}, ka 400p^{2}.

$$400p^{2}-750pq+225q^{2}+750pq-625q^{2}$$

Pahekotia te -750pq me 750pq, ka 0.

$$400p^{2}+225q^{2}-625q^{2}$$

Pahekotia te 225q^{2} me -625q^{2}, ka -400q^{2}.

$$400p^{2}-400q^{2}$$

Whakaroha

$$400p^{2}-400q^{2}$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(25p-15q\right)^{2}.

$$625p^{2}-750pq+225q^{2}-\left(15p-25q\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(15p-25q\right)^{2}.

$$625p^{2}-750pq+225q^{2}-\left(225p^{2}-750pq+625q^{2}\right)$$

Hei kimi i te tauaro o 225p^{2}-750pq+625q^{2}, kimihia te tauaro o ia taurangi.

$$625p^{2}-750pq+225q^{2}-225p^{2}+750pq-625q^{2}$$

Pahekotia te 625p^{2} me -225p^{2}, ka 400p^{2}.

$$400p^{2}-750pq+225q^{2}+750pq-625q^{2}$$

Pahekotia te -750pq me 750pq, ka 0.

$$400p^{2}+225q^{2}-625q^{2}$$

Pahekotia te 225q^{2} me -625q^{2}, ka -400q^{2}.

$$400p^{2}-400q^{2}$$