If 8x³ - 27y³ = (Ax + By)(Cx² - Dy² + 6xy), then (A + B + C - D) is equal to ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 12.
(2x)³ - (3y)³ = (Ax + By)(Cx² - Dy² + 6xy)
= (2x - 3y) (4x² + 9y² - 6xy)
A = 2, B = -3, C = 4, D = -9
(A + B + C - D) = (2 - 3 + 4 + 9)
= 12