Aromātai
\frac{3x\left(10-x\right)}{4}
Whakaroha
-\frac{3x^{2}}{4}+\frac{15x}{2}
Graph
Tohaina
Kua tāruatia ki te papatopenga
\frac{1\times 3}{2\times 2}\left(10-x\right)x
Me whakarea te \frac{1}{2} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{3}{4}\left(10-x\right)x
Mahia ngā whakarea i roto i te hautanga \frac{1\times 3}{2\times 2}.
\left(\frac{3}{4}\times 10+\frac{3}{4}\left(-1\right)x\right)x
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{3}{4} ki te 10-x.
\left(\frac{3\times 10}{4}+\frac{3}{4}\left(-1\right)x\right)x
Tuhia te \frac{3}{4}\times 10 hei hautanga kotahi.
\left(\frac{30}{4}+\frac{3}{4}\left(-1\right)x\right)x
Whakareatia te 3 ki te 10, ka 30.
\left(\frac{15}{2}+\frac{3}{4}\left(-1\right)x\right)x
Whakahekea te hautanga \frac{30}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
\left(\frac{15}{2}-\frac{3}{4}x\right)x
Whakareatia te \frac{3}{4} ki te -1, ka -\frac{3}{4}.
\frac{15}{2}x-\frac{3}{4}xx
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{15}{2}-\frac{3}{4}x ki te x.
\frac{15}{2}x-\frac{3}{4}x^{2}
Whakareatia te x ki te x, ka x^{2}.
\frac{1\times 3}{2\times 2}\left(10-x\right)x
Me whakarea te \frac{1}{2} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{3}{4}\left(10-x\right)x
Mahia ngā whakarea i roto i te hautanga \frac{1\times 3}{2\times 2}.
\left(\frac{3}{4}\times 10+\frac{3}{4}\left(-1\right)x\right)x
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{3}{4} ki te 10-x.
\left(\frac{3\times 10}{4}+\frac{3}{4}\left(-1\right)x\right)x
Tuhia te \frac{3}{4}\times 10 hei hautanga kotahi.
\left(\frac{30}{4}+\frac{3}{4}\left(-1\right)x\right)x
Whakareatia te 3 ki te 10, ka 30.
\left(\frac{15}{2}+\frac{3}{4}\left(-1\right)x\right)x
Whakahekea te hautanga \frac{30}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
\left(\frac{15}{2}-\frac{3}{4}x\right)x
Whakareatia te \frac{3}{4} ki te -1, ka -\frac{3}{4}.
\frac{15}{2}x-\frac{3}{4}xx
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{15}{2}-\frac{3}{4}x ki te x.
\frac{15}{2}x-\frac{3}{4}x^{2}
Whakareatia te x ki te x, ka x^{2}.
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