Aromātai
5x+\frac{3}{2}+\frac{6}{x}
Tauwehe
\frac{10x^{2}+3x+12}{2x}
Graph
Tohaina
Kua tāruatia ki te papatopenga
x+\frac{3}{2}+2\times \frac{3}{x}+\frac{4x}{1}
Ka whakawehea he tau ki te tahi, hua ai ko ia anō.
x+\frac{3}{2}+\frac{2\times 3}{x}+\frac{4x}{1}
Tuhia te 2\times \frac{3}{x} hei hautanga kotahi.
x+\frac{3}{2}+\frac{2\times 3}{x}+4x
Ka whakawehea he tau ki te tahi, hua ai ko ia anō.
5x+\frac{3}{2}+\frac{2\times 3}{x}
Pahekotia te x me 4x, ka 5x.
5x+\frac{3x}{2x}+\frac{2\times 2\times 3}{2x}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 2 me x ko 2x. Whakareatia \frac{3}{2} ki te \frac{x}{x}. Whakareatia \frac{2\times 3}{x} ki te \frac{2}{2}.
5x+\frac{3x+2\times 2\times 3}{2x}
Tā te mea he rite te tauraro o \frac{3x}{2x} me \frac{2\times 2\times 3}{2x}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
5x+\frac{3x+12}{2x}
Mahia ngā whakarea i roto o 3x+2\times 2\times 3.
\frac{5x\times 2x}{2x}+\frac{3x+12}{2x}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 5x ki te \frac{2x}{2x}.
\frac{5x\times 2x+3x+12}{2x}
Tā te mea he rite te tauraro o \frac{5x\times 2x}{2x} me \frac{3x+12}{2x}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{10x^{2}+3x+12}{2x}
Mahia ngā whakarea i roto o 5x\times 2x+3x+12.
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