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\left(x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{2}+x^{2}-\sqrt{3}x+1\right)\left(x^{2}+\sqrt{3}x+1\right)
Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}+1 ki te x^{2}-\sqrt{3}x+1.
\left(x^{2}-\sqrt{3}x\right)x^{4}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Whakamahia te āhuatanga tuaritanga hei whakarea te x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{2}+x^{2}-\sqrt{3}x+1 ki te x^{2}+\sqrt{3}x+1 ka whakakotahi i ngā kupu rite.
x^{6}-\sqrt{3}x^{5}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}-\sqrt{3}x ki te x^{4}.
x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-x\left(\sqrt{3}\right)^{2}\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}-\sqrt{3}x ki te \sqrt{3}.
x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-x\times 3\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Ko te pūrua o \sqrt{3} ko 3.
x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-3x\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Whakareatia te -1 ki te 3, ka -3.
x^{6}-\sqrt{3}x^{5}+\sqrt{3}x^{5}-3x^{4}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}\sqrt{3}-3x ki te x^{3}.
x^{6}-3x^{4}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Pahekotia te -\sqrt{3}x^{5} me \sqrt{3}x^{5}, ka 0.
x^{6}-3x^{4}+2x^{4}-2\sqrt{3}x^{3}+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Whakamahia te āhuatanga tohatoha hei whakarea te 2x^{2} ki te x^{2}-\sqrt{3}x.
x^{6}-x^{4}-2\sqrt{3}x^{3}+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Pahekotia te -3x^{4} me 2x^{4}, ka -x^{4}.
x^{6}-2\sqrt{3}x^{3}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Pahekotia te -x^{4} me x^{4}, ka 0.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Pahekotia te -2\sqrt{3}x^{3} me \sqrt{3}x^{3}, ka -\sqrt{3}x^{3}.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-x\left(\sqrt{3}\right)^{2}\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}-\sqrt{3}x ki te \sqrt{3}.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-x\times 3\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Ko te pūrua o \sqrt{3} ko 3.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-3x\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Whakareatia te -1 ki te 3, ka -3.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\sqrt{3}x^{3}-3x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}\sqrt{3}-3x ki te x.
x^{6}+2x^{2}-3x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Pahekotia te -\sqrt{3}x^{3} me \sqrt{3}x^{3}, ka 0.
x^{6}-x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1
Pahekotia te 2x^{2} me -3x^{2}, ka -x^{2}.
x^{6}-\sqrt{3}x+\sqrt{3}x+1
Pahekotia te -x^{2} me x^{2}, ka 0.
x^{6}+1
Pahekotia te -\sqrt{3}x me \sqrt{3}x, ka 0.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{2}+x^{2}-\sqrt{3}x+1\right)\left(x^{2}+\sqrt{3}x+1\right))
Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}+1 ki te x^{2}-\sqrt{3}x+1.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(x^{2}-\sqrt{3}x\right)x^{4}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Whakamahia te āhuatanga tuaritanga hei whakarea te x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{2}+x^{2}-\sqrt{3}x+1 ki te x^{2}+\sqrt{3}x+1 ka whakakotahi i ngā kupu rite.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}-\sqrt{3}x ki te x^{4}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-x\left(\sqrt{3}\right)^{2}\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}-\sqrt{3}x ki te \sqrt{3}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-x\times 3\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Ko te pūrua o \sqrt{3} ko 3.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-3x\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Whakareatia te -1 ki te 3, ka -3.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\sqrt{3}x^{5}-3x^{4}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}\sqrt{3}-3x ki te x^{3}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-3x^{4}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Pahekotia te -\sqrt{3}x^{5} me \sqrt{3}x^{5}, ka 0.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-3x^{4}+2x^{4}-2\sqrt{3}x^{3}+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Whakamahia te āhuatanga tohatoha hei whakarea te 2x^{2} ki te x^{2}-\sqrt{3}x.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-x^{4}-2\sqrt{3}x^{3}+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Pahekotia te -3x^{4} me 2x^{4}, ka -x^{4}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-2\sqrt{3}x^{3}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Pahekotia te -x^{4} me x^{4}, ka 0.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Pahekotia te -2\sqrt{3}x^{3} me \sqrt{3}x^{3}, ka -\sqrt{3}x^{3}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-x\left(\sqrt{3}\right)^{2}\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}-\sqrt{3}x ki te \sqrt{3}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-x\times 3\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Ko te pūrua o \sqrt{3} ko 3.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-3x\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Whakareatia te -1 ki te 3, ka -3.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\sqrt{3}x^{3}-3x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}\sqrt{3}-3x ki te x.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}+2x^{2}-3x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Pahekotia te -\sqrt{3}x^{3} me \sqrt{3}x^{3}, ka 0.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
Pahekotia te 2x^{2} me -3x^{2}, ka -x^{2}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x+\sqrt{3}x+1)
Pahekotia te -x^{2} me x^{2}, ka 0.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}+1)
Pahekotia te -\sqrt{3}x me \sqrt{3}x, ka 0.
6x^{6-1}
Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.
6x^{5}
Tango 1 mai i 6.