What is the value of $ (a-b) (b+a) (a^2+

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

What is the value of $ (a-b) (b+a) (a^2+b^2) (2b^4+2a^4)$ ?

Options:

$ a^4 - b^4 $

$ a^8 - b^8 $

$ 2(a^8 - b^8) $

$ (a^8 - b^8)/2 $

Correct Answer:

$ 2(a^8 - b^8) $

Explanation:

$ (a-b) (b+a) (a^2+b^2) (2b^4+2a^4)$

= (a² - b²) $(a^2+b^2)$ $(2b^4+2a^4)$

= $(a^4 - b^4)$ $(2b^4+2a^4)$

= $ 2(a^8 - b^8) $