Whakaoti i te (1-2y)^2=(2y-1)(2y+7)

$$( 1 - 2 y ) ^ { 2 } = ( 2 y - 1 ) ( 2 y + 7 )$$

Whakaoti mō y

$$y=\frac{1}{2}=0.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(1-2y\right)^{2}.

$$1-4y+4y^{2}=\left(2y-1\right)\left(2y+7\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 2y-1 ki te 2y+7 ka whakakotahi i ngā kupu rite.

$$1-4y+4y^{2}=4y^{2}+12y-7$$

Tangohia te 4y^{2} mai i ngā taha e rua.

$$1-4y+4y^{2}-4y^{2}=12y-7$$

Pahekotia te 4y^{2} me -4y^{2}, ka 0.

$$1-4y=12y-7$$

Tangohia te 12y mai i ngā taha e rua.

$$1-4y-12y=-7$$

Pahekotia te -4y me -12y, ka -16y.

$$1-16y=-7$$

Tangohia te 1 mai i ngā taha e rua.

$$-16y=-7-1$$

Tangohia te 1 i te -7, ka -8.

$$-16y=-8$$

Whakawehea ngā taha e rua ki te -16.

$$y=\frac{-8}{-16}$$

Whakahekea te hautanga \frac{-8}{-16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -8.

$$y=\frac{1}{2}$$