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

$$( 2 p - 3 ) ^ { 2 } - ( p - 4 ) ( p + 4 ) - 2 p ( p + 2 )$$

Aromātai

$$\left(p-8\right)^{2}-39$$

Ngā Upane Otinga

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

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

Whakaarohia te \left(p-4\right)\left(p+4\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 4.

$$4p^{2}-12p+9-\left(p^{2}-16\right)-2p\left(p+2\right)$$

Hei kimi i te tauaro o p^{2}-16, kimihia te tauaro o ia taurangi.

$$4p^{2}-12p+9-p^{2}+16-2p\left(p+2\right)$$

Pahekotia te 4p^{2} me -p^{2}, ka 3p^{2}.

$$3p^{2}-12p+9+16-2p\left(p+2\right)$$

Tāpirihia te 9 ki te 16, ka 25.

$$3p^{2}-12p+25-2p\left(p+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2p ki te p+2.

$$3p^{2}-12p+25-2p^{2}-4p$$

Pahekotia te 3p^{2} me -2p^{2}, ka p^{2}.

$$p^{2}-12p+25-4p$$

Pahekotia te -12p me -4p, ka -16p.

$$p^{2}-16p+25$$

Whakaroha

$$p^{2}-16p+25$$

Ngā Upane Otinga

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

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

Whakaarohia te \left(p-4\right)\left(p+4\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 4.

$$4p^{2}-12p+9-\left(p^{2}-16\right)-2p\left(p+2\right)$$

Hei kimi i te tauaro o p^{2}-16, kimihia te tauaro o ia taurangi.

$$4p^{2}-12p+9-p^{2}+16-2p\left(p+2\right)$$

Pahekotia te 4p^{2} me -p^{2}, ka 3p^{2}.

$$3p^{2}-12p+9+16-2p\left(p+2\right)$$

Tāpirihia te 9 ki te 16, ka 25.

$$3p^{2}-12p+25-2p\left(p+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2p ki te p+2.

$$3p^{2}-12p+25-2p^{2}-4p$$

Pahekotia te 3p^{2} me -2p^{2}, ka p^{2}.

$$p^{2}-12p+25-4p$$

Pahekotia te -12p me -4p, ka -16p.

$$p^{2}-16p+25$$