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Whakaroha
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Tohaina

16\left(x^{2}-2x+1\right)-\left(x+2\right)^{2}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-1\right)^{2}.
16x^{2}-32x+16-\left(x+2\right)^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 16 ki te x^{2}-2x+1.
16x^{2}-32x+16-\left(x^{2}+4x+4\right)
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+2\right)^{2}.
16x^{2}-32x+16-x^{2}-4x-4
Hei kimi i te tauaro o x^{2}+4x+4, kimihia te tauaro o ia taurangi.
15x^{2}-32x+16-4x-4
Pahekotia te 16x^{2} me -x^{2}, ka 15x^{2}.
15x^{2}-36x+16-4
Pahekotia te -32x me -4x, ka -36x.
15x^{2}-36x+12
Tangohia te 4 i te 16, ka 12.
16\left(x^{2}-2x+1\right)-\left(x+2\right)^{2}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-1\right)^{2}.
16x^{2}-32x+16-\left(x+2\right)^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 16 ki te x^{2}-2x+1.
16x^{2}-32x+16-\left(x^{2}+4x+4\right)
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+2\right)^{2}.
16x^{2}-32x+16-x^{2}-4x-4
Hei kimi i te tauaro o x^{2}+4x+4, kimihia te tauaro o ia taurangi.
15x^{2}-32x+16-4x-4
Pahekotia te 16x^{2} me -x^{2}, ka 15x^{2}.
15x^{2}-36x+16-4
Pahekotia te -32x me -4x, ka -36x.
15x^{2}-36x+12
Tangohia te 4 i te 16, ka 12.