BECE Mathematics 2015 Paper

Concept:This question tests the expansion of two binomials, specifically using the difference of squares identity: $(a+b)(a-b)=a^2-b^2$.Explanation:Let $a=2x$ and $b=y$.The expression $(2x+y)(2x-y)$ fits the difference of squares identity with these values.Applying the identity gives: $(2x+y)(2x-y) = (2x)^2 - y^2$.Now square $2x$: $(2x)^2 = 4 \cdot x^2 = 4x^2$.The term $y^2$ remains unchanged.Therefore, the expansion simplifies to $4x^2 - y^2$.Checking the options, this result corresponds to option B.Answer:$4x^2 - y^2$Correct option: B.