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Aptitude · Q474

Algebra

Competitive Exams · Aptitude · question 474

Q474

If [8(x + y)3 - 27(x - y)3] ÷ (5y - x) = Ax2 + Bxy + Cy2, then the value of (A + B + C) is:

A.
26
B.
19
C.
16
Answer
D.
13

Answer: Option C

Solution

Answer: Option C
Solution:
[8(x + y)3 - 27(x - y)3] ÷ (5y - x) = Ax2 + Bxy + Cy2
Let, x = 1, y = 1
[8(1 + 1)3 - 27 × 0] ÷ (5 - 1) = (A + B + C)
 = A + B + C
16 = A + B + C