Algebraic Function Variable Substitutio

This math topic focuses on the substitution of variables into algebraic functions that involve bracketed squared terms. The problems require the evaluation of expressions where the inputs are given specific values. The expressions typically take the form of a binomial squared, such as \((ax + by)^2\), where \(x, y, a,\) and \(b\) are particular numbers. The solutions involve calculating the squared value of linear expressions by substituting the given values and possibly expanding the brackets to find the correct result. This emphasis is on reinforcing the ability to manipulate and evaluate algebraic expressions in squared form.