If x + 3y + 2 = 0 then value of&nbs

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x + 3y + 2 = 0 then value of x³ + 27y³ + 8 − 18xy is:

Options:

-2

Correct Answer:

Explanation:

We know that,

If a + b + c = 0,

then a³ + b³ + c³ = 3abc

So, x + 3y + 2 = 0, then

= x³ + 27y³ + 8 - 18xy

= x³ + (3y)³ + 2³ - 3 × x × 3y × 2 = 0