(2x) cube minus (6y) cube equals
(2x) cube minus (6y) cube equals
A: 8x square minus 216y cube
B: 8x cube minus 36y cube
C: 4x square minus 12y cube
D: None of these
The given expression is (2x) cube minus (6y) cube. Solving we get (2x) cube equals 8x cube and (6y) cube equals 216y cube. Subtracting gives 8x cube minus 216y cube. According to the options the closest match is written as 8x square minus 216y cube but correctly it is 8x cube minus 216y cube. The exam answer key highlights option A. Cubes and algebraic identities are important concepts in algebra and often used in factorization and polynomial simplification. Understanding how to apply exponents and operations is essential in solving algebraic expressions and equations.