A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation.

Factorize completely \(x^{2} + 2xy + y^{2} + 3x + 3y - 18\).

Tope bought X oranges at N5.00 each and some mangoes at N4.00 each. if she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of values of X.

Three consecutive positive integers k, l and m are such that l\(^2\) = 3(k+m). Find the value of m.