If $8a^3 + b^3 = 16$ and $2a + b= 4,$ th

CUET Preparation Today

Start Free Mocks

Home Questions 96M2YNY85J

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $8a^3 + b^3 = 16$ and $2a + b= 4,$ then find the value of $16a^4 + b^4$.

Options:

Correct Answer:

Explanation:

Put the value of,

a = 1, b = 2. These values satisfy equations given in the question.

Now,

16a⁴ + b⁴

= 16 × 1 + 2⁴

= 16 + 16 = 32