Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $1-64 x^3-12 x+p x^2=(1-4 x)^3$, then the value of p is:

Options:

48

-12

-48

16

Correct Answer:

48

Explanation:

1 – 64x3 – 12x + px2 = (1 – 4x)3

= 1 – 64x3 – 12x + px2 = 1 – 64x3 – 3 × 1 × 4x (1 – 4x)

= 1 – 64x3 – 12x + px2 = 1 – 64x3 – 12x + 48x2

= px2 = 48x2

= p = 48