Question

Expand [a/3-b/6-1]^2

Answer 1

(a/3

`( (a)/(3) - (b)/(5) ) {}^(2)`

`\frac{ {a}^(2) }{9} - (2ab)/(15) + \frac{b {}^(2) }{25}`

Answer 2

Explanation:

(x + y +z)^2 = x² + y² + z² + 2xy + 2yz + 2zx

x = a/3

y = -b/6

c = -1

`[(a)/(3)-(b)/(6)-1]^(2)=((a)/(3))^(2)+((-b)/(6))^(2)+(-1)^(2)+2*(a)/(3)*(-b)/(6)+2*(-b)/(6)*(-1)+2*(a)/(3)*(-1)\\\\\\=(a^(2))/(9)+(b^(2))/(36)+1-(ab)/(9)+(b)/(3)-(2a)/(3)`