Leela is convinced that (a+b)2 = a2 + b2

(a+b)^2=a^2+2ab+b^2

Step-by-step explanation:

(a+b)^2=(a+b)(a+b)

Use foil by multiplying a by a+b then b by a+b

(a*a)+ab+ab+(b*b)= a^2+2ab+b^2

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

sine

step-by-step explanation: