Whakaoti i te 3[(4+3b)^2+2]+[2*(a-b)^2]=

$$3 [ ( 4 + 3 b ) ^ { 2 } + 2 ] + [ 2 \cdot ( a - b ) ^ { 2 } ] =$$

Aromātai

$$2\left(a-b\right)^{2}+3\left(3b+4\right)^{2}+6$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(4+3b\right)^{2}.

$$3\left(16+24b+9b^{2}+2\right)+2\left(a-b\right)^{2}$$

Tāpirihia te 16 ki te 2, ka 18.

$$3\left(18+24b+9b^{2}\right)+2\left(a-b\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 18+24b+9b^{2}.

$$54+72b+27b^{2}+2\left(a-b\right)^{2}$$

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-b\right)^{2}.

$$54+72b+27b^{2}+2\left(a^{2}-2ab+b^{2}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te a^{2}-2ab+b^{2}.

$$54+72b+27b^{2}+2a^{2}-4ab+2b^{2}$$

Pahekotia te 27b^{2} me 2b^{2}, ka 29b^{2}.

$$54+72b+29b^{2}+2a^{2}-4ab$$

Whakaroha

$$2a^{2}-4ab+29b^{2}+72b+54$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(4+3b\right)^{2}.

$$3\left(16+24b+9b^{2}+2\right)+2\left(a-b\right)^{2}$$

Tāpirihia te 16 ki te 2, ka 18.

$$3\left(18+24b+9b^{2}\right)+2\left(a-b\right)^{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 18+24b+9b^{2}.

$$54+72b+27b^{2}+2\left(a-b\right)^{2}$$

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-b\right)^{2}.

$$54+72b+27b^{2}+2\left(a^{2}-2ab+b^{2}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te a^{2}-2ab+b^{2}.

$$54+72b+27b^{2}+2a^{2}-4ab+2b^{2}$$

Pahekotia te 27b^{2} me 2b^{2}, ka 29b^{2}.

$$54+72b+29b^{2}+2a^{2}-4ab$$