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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

4p^{2}-12p+9-\left(p-4\right)\left(p+4\right)-2p\left(p+2\right)
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^{2}-16\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-p^{2}+16-2p\left(p+2\right)
Hei kimi i te tauaro o p^{2}-16, kimihia te tauaro o ia taurangi.
3p^{2}-12p+9+16-2p\left(p+2\right)
Pahekotia te 4p^{2} me -p^{2}, ka 3p^{2}.
3p^{2}-12p+25-2p\left(p+2\right)
Tāpirihia te 9 ki te 16, ka 25.
3p^{2}-12p+25-2p^{2}-4p
Whakamahia te āhuatanga tohatoha hei whakarea te -2p ki te p+2.
p^{2}-12p+25-4p
Pahekotia te 3p^{2} me -2p^{2}, ka p^{2}.
p^{2}-16p+25
Pahekotia te -12p me -4p, ka -16p.
4p^{2}-12p+9-\left(p-4\right)\left(p+4\right)-2p\left(p+2\right)
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^{2}-16\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-p^{2}+16-2p\left(p+2\right)
Hei kimi i te tauaro o p^{2}-16, kimihia te tauaro o ia taurangi.
3p^{2}-12p+9+16-2p\left(p+2\right)
Pahekotia te 4p^{2} me -p^{2}, ka 3p^{2}.
3p^{2}-12p+25-2p\left(p+2\right)
Tāpirihia te 9 ki te 16, ka 25.
3p^{2}-12p+25-2p^{2}-4p
Whakamahia te āhuatanga tohatoha hei whakarea te -2p ki te p+2.
p^{2}-12p+25-4p
Pahekotia te 3p^{2} me -2p^{2}, ka p^{2}.
p^{2}-16p+25
Pahekotia te -12p me -4p, ka -16p.