If (x + y)3 - (x - y)3 - 3y(2x2 - 3y2) = ky3, then find the value of k.
A. 10.5
B. 8
C. 11
D. 10
Answer: Option C
Solution(By Examveda Team)
Concept used:(a + b)3 = a3 + b3 + 3ab(a + b)
(a - b)3 = a3 - b3 - 3ab(a - b)
Calculation:
(x + y)3 - (x - y)3 - 3y(2x2 - 3y2) = ky3
⇒ x3 + y3 + 3x2y + 3xy2 - x3 + y3 + 3x2y - 3xy2 - 6x2y + 9y3 = ky3
⇒ 11y3 = ky3
⇒ k = 11
∴ The value of K is 11
This Question Belongs to Arithmetic Ability >> Algebra
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