Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

What is the constant term in the expansion of $\left(5 x^2-\frac{1}{x}\right)^3$ ?

Options:

15

5

75

-15

Correct Answer:

15

Explanation:

(a - b)3 = a3 - b3 - 3ab(a-b)

$\left(5 x^2-\frac{1}{x}\right)^3$ = (5x2)3 - \(\frac{1}{x^3}\) - 3 × 5x × \(\frac{1}{x}\)($\left(5 x^2-\frac{1}{x}\right)$

$\left(5 x^2-\frac{1}{x}\right)^3$ = 125x– \(\frac{1}{x^3}\) – 75x3 + 15

So the constant term will be = 15