Whakaoti i te (2n-1/2)(2n-1/4)

$$( 2 n - \frac { 1 } { 2 } ) ( 2 n - \frac { 1 } { 4 } )$$

Aromātai

$$4n^{2}-\frac{3n}{2}+\frac{1}{8}$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2n-\frac{1}{2} ki ia tau o 2n-\frac{1}{4}.

$$4n^{2}+2n\left(-\frac{1}{4}\right)-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Tuhia te 2\left(-\frac{1}{4}\right) hei hautanga kotahi.

$$4n^{2}+\frac{2\left(-1\right)}{4}n-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Whakareatia te 2 ki te -1, ka -2.

$$4n^{2}+\frac{-2}{4}n-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Whakahekea te hautanga \frac{-2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$4n^{2}-\frac{1}{2}n-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Me whakakore te 2 me te 2.

$$4n^{2}-\frac{1}{2}n-n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Pahekotia te -\frac{1}{2}n me -n, ka -\frac{3}{2}n.

$$4n^{2}-\frac{3}{2}n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Me whakarea te -\frac{1}{2} ki te -\frac{1}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$4n^{2}-\frac{3}{2}n+\frac{-\left(-1\right)}{2\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{-\left(-1\right)}{2\times 4}.

$$4n^{2}-\frac{3}{2}n+\frac{1}{8}$$

Whakaroha

$$4n^{2}-\frac{3n}{2}+\frac{1}{8}$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2n-\frac{1}{2} ki ia tau o 2n-\frac{1}{4}.

$$4n^{2}+2n\left(-\frac{1}{4}\right)-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Tuhia te 2\left(-\frac{1}{4}\right) hei hautanga kotahi.

$$4n^{2}+\frac{2\left(-1\right)}{4}n-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Whakareatia te 2 ki te -1, ka -2.

$$4n^{2}+\frac{-2}{4}n-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Whakahekea te hautanga \frac{-2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$4n^{2}-\frac{1}{2}n-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Me whakakore te 2 me te 2.

$$4n^{2}-\frac{1}{2}n-n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Pahekotia te -\frac{1}{2}n me -n, ka -\frac{3}{2}n.

$$4n^{2}-\frac{3}{2}n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Me whakarea te -\frac{1}{2} ki te -\frac{1}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$4n^{2}-\frac{3}{2}n+\frac{-\left(-1\right)}{2\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{-\left(-1\right)}{2\times 4}.

$$4n^{2}-\frac{3}{2}n+\frac{1}{8}$$