The LCM of (a3 + b3) and (a4 -

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Home Questions 55QZY5A788

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Question:

The LCM of (a³ + b³) and (a⁴ - b⁴) is :-

Options:

(a³ + b³) (a² - b²) (a - b)

(a + b) (a² + ab + b²)

(a³ + b³) (a² + b²) (a + b)

(a³ + b³) (a² + b²) (a - b)

Correct Answer:

(a³ + b³) (a² + b²) (a - b)

Explanation:

(a³ + b³), (a⁴ - b⁴)

(a + b) (a² + b² - ab), (a² + b²) (a² - b²)

Now LCM →

= (a + b) (a² + b² - ab), (a² + b²) (a- b)

= (a³ + b³) (a² + b²) (a - b)