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MATHEMATICS

JAMB 2022 - Question 12

Mathematics 2022 JAMB Past Questions - Question 12: The expression a³ +b³ is equal to

The expression a³ +b³ is equal to

A: (a²+b)(a-ab+b²)

B: (a+b)(a²-ab+b²)

C: (a-b)(a²-ab+b)

D: (a-b)(a²+ab+b²)

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Correct Answer

Explanation

The expression a³ + b³ is equal to the sum of the cubes of a and b. Using the formula for the sum of cubes, we can expand the expression as follows:a³ + b³ = (a + b)(a² - ab + b²)Therefore, the expression a³ + b³ is equal to (a + b)(a² - ab + b²).