Question

find the ratio of premeter of a square whose each side is a^3+2a^2+2a+1 and a^2+a+1 respectively

Answer 1

we know ,
perimeter of square =4 x side length
hence ,
perimeter of 1st square =4 {a^3+2a^2+2a+1}
=4 {a^3+a^2+a^2+a+a+1}
=4 (a+1)(a^2+a+1)

again
perimeter of 2nd square =4 {a^2+a+1}

now,
ratio=4 (a+1)(a^2+a+1)/4 (a^2+a+1)
=(a+1)