If x + y = 14, then the value of x3 + y3 + 42xy is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 2744
Given:
x + y = 14
Formula USed:
(a + b)3 = a3 + b3 + 3ab(a + b)
Explanation:
According to the given question,
(x + y)3 = 143
⇒ x3 + y3 + 3xy(x + y) = 2744
⇒ x3 + y3 + 3xy × 14 = 2744
⇒ x3 + y3 + 42xy = 2744
Hence the required answer is 2744.