Whakaoti i te (1/7-y)(1/2-y)=

$$( \frac { 1 } { 7 } - y ) ( \frac { 1 } { 2 } - y ) =$$

Aromātai

$$y^{2}-\frac{9y}{14}+\frac{1}{14}$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o \frac{1}{7}-y ki ia tau o \frac{1}{2}-y.

$$\frac{1}{7}\times \frac{1}{2}+\frac{1}{7}\left(-1\right)y-y\times \frac{1}{2}+y^{2}$$

Me whakarea te \frac{1}{7} ki te \frac{1}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 1}{7\times 2}+\frac{1}{7}\left(-1\right)y-y\times \frac{1}{2}+y^{2}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 1}{7\times 2}.

$$\frac{1}{14}+\frac{1}{7}\left(-1\right)y-y\times \frac{1}{2}+y^{2}$$

Whakareatia te \frac{1}{7} ki te -1, ka -\frac{1}{7}.

$$\frac{1}{14}-\frac{1}{7}y-y\times \frac{1}{2}+y^{2}$$

Whakareatia te -1 ki te \frac{1}{2}, ka -\frac{1}{2}.

$$\frac{1}{14}-\frac{1}{7}y-\frac{1}{2}y+y^{2}$$

Pahekotia te -\frac{1}{7}y me -\frac{1}{2}y, ka -\frac{9}{14}y.

$$\frac{1}{14}-\frac{9}{14}y+y^{2}$$

Whakaroha

$$y^{2}-\frac{9y}{14}+\frac{1}{14}$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o \frac{1}{7}-y ki ia tau o \frac{1}{2}-y.

$$\frac{1}{7}\times \frac{1}{2}+\frac{1}{7}\left(-1\right)y-y\times \frac{1}{2}+y^{2}$$

Me whakarea te \frac{1}{7} ki te \frac{1}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 1}{7\times 2}+\frac{1}{7}\left(-1\right)y-y\times \frac{1}{2}+y^{2}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 1}{7\times 2}.

$$\frac{1}{14}+\frac{1}{7}\left(-1\right)y-y\times \frac{1}{2}+y^{2}$$

Whakareatia te \frac{1}{7} ki te -1, ka -\frac{1}{7}.

$$\frac{1}{14}-\frac{1}{7}y-y\times \frac{1}{2}+y^{2}$$

Whakareatia te -1 ki te \frac{1}{2}, ka -\frac{1}{2}.

$$\frac{1}{14}-\frac{1}{7}y-\frac{1}{2}y+y^{2}$$

Pahekotia te -\frac{1}{7}y me -\frac{1}{2}y, ka -\frac{9}{14}y.

$$\frac{1}{14}-\frac{9}{14}y+y^{2}$$