Question - Algebraic Expression Simplification
mathbinomial multiplicationfoil methodalgebraic expression simplificationsimplify algebraic expressions
Solution:
The image shows an algebraic expression that requires simplification:(2√x - √y)(6√x + 5√y)This is a binomial multiplication problem, which we can solve using the FOIL method, where FOIL stands for "First, Outer, Inner, Last." This means we multiply the first terms in each binomial, then the outer terms, followed by the inner terms, and finally the last terms, combining like terms where possible. Here's how we apply FOIL to this problem:First: (2√x)*(6√x) = 12xOuter: (2√x)*(5√y) = 10√xyInner: (-√y)*(6√x) = -6√xyLast: (-√y)*(5√y) = -5yCombining these results, we get:12x + 10√xy - 6√xy - 5yCombine like terms:12x + (10√xy - 6√xy) - 5y12x + 4√xy - 5yThe simplified form of the expression is:12x + 4√xy - 5y
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