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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

x^{4}-x^{2}-72-\left(x^{2}-5\right)\left(x^{2}+3x-2\right)
Whakamahia te āhuatanga tuaritanga hei whakarea te x^{2}-9 ki te x^{2}+8 ka whakakotahi i ngā kupu rite.
x^{4}-x^{2}-72-\left(x^{4}+3x^{3}-7x^{2}-15x+10\right)
Whakamahia te āhuatanga tuaritanga hei whakarea te x^{2}-5 ki te x^{2}+3x-2 ka whakakotahi i ngā kupu rite.
x^{4}-x^{2}-72-x^{4}-3x^{3}+7x^{2}+15x-10
Hei kimi i te tauaro o x^{4}+3x^{3}-7x^{2}-15x+10, kimihia te tauaro o ia taurangi.
-x^{2}-72-3x^{3}+7x^{2}+15x-10
Pahekotia te x^{4} me -x^{4}, ka 0.
6x^{2}-72-3x^{3}+15x-10
Pahekotia te -x^{2} me 7x^{2}, ka 6x^{2}.
6x^{2}-82-3x^{3}+15x
Tangohia te 10 i te -72, ka -82.
x^{4}-x^{2}-72-\left(x^{2}-5\right)\left(x^{2}+3x-2\right)
Whakamahia te āhuatanga tuaritanga hei whakarea te x^{2}-9 ki te x^{2}+8 ka whakakotahi i ngā kupu rite.
x^{4}-x^{2}-72-\left(x^{4}+3x^{3}-7x^{2}-15x+10\right)
Whakamahia te āhuatanga tuaritanga hei whakarea te x^{2}-5 ki te x^{2}+3x-2 ka whakakotahi i ngā kupu rite.
x^{4}-x^{2}-72-x^{4}-3x^{3}+7x^{2}+15x-10
Hei kimi i te tauaro o x^{4}+3x^{3}-7x^{2}-15x+10, kimihia te tauaro o ia taurangi.
-x^{2}-72-3x^{3}+7x^{2}+15x-10
Pahekotia te x^{4} me -x^{4}, ka 0.
6x^{2}-72-3x^{3}+15x-10
Pahekotia te -x^{2} me 7x^{2}, ka 6x^{2}.
6x^{2}-82-3x^{3}+15x
Tangohia te 10 i te -72, ka -82.