`((a^(1/2) xx b^(3/2))/(ab))^2`

((a^(2)b^(-2))/(a^(-2)b^(2)))^(3)xx((ab^(-1))/(a^(-1)b))^(-2)

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

Find the products (ab^(2)) xx(-b^(2)c)xx(-a^(2)c^(3)) xx(-3abc)

If |a| lt 1, |b| lt 1 , then show that a(a+b) + a^(2) (a^(2) + b^(2)) + a^(3)(a^(3) + b^(3)) +… = (a^(2))/(1-a^(2)) + (ab)/(1- ab)

Simplify: a^(2)b(a-b^(2))+ab^(2)(4ab-2a^(2))-a^(3)b(1-2b)