If $x^2 = b - ax$ and $x^3(x^3 +c) = d$,

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $x^2 = b - ax$ and $x^3(x^3 +c) = d$, then which of the following can be the values of c and d?

Options:

$ c = a^3 - 3ab \, and \, d = b^3$

$ c = -a^3 - 3ab \, and \, d = b^3$

$ c = a^3 + 3ab \, and \, d = b^3$

$ c = a^3 + 3ab \, and \, d = -b^3$

Correct Answer:

$ c = a^3 + 3ab \, and \, d = b^3$