If x + 3y = 6, what is the value of x3 + 27y3 + 54xy?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 216.
x3 + 27y3 + 54xy
= x3 + (3y)3 + 9xy(6)
= x3 + (3y)3 + 3(x)(3y)(x + 3y)
= (x + 3y)3
= 63
= 216
SSC CHSL 2023 PYQ — Question 63
SSC CHSL - 14 Aug 2023 - Shift 1 • Quantitative Aptitude • Q63