BECE Mathematics 2010 Paper

Concept:Group the terms so that each group has a common factor, then factor out the common binomial.Explanation:Rewrite the expression by grouping the first two terms and the last two terms:$xy + 5x + 2y + 10 = (xy+5x) + (2y+10)$From the first group, take $x$ common:$xy + 5x = x(y+5)$From the second group, take $2$ common:$2y + 10 = 2(y+5)$So the expression becomes:$x(y+5) + 2(y+5)$Now $(y+5)$ appears in both terms, so factor it out:$x(y+5) + 2(y+5) = (x+2)(y+5)$This is the required factorized form.Answer:Option D: $(x+2)(y+5)$