Question

The product (a+b)(a-b)(a^2-ab+b^2)(a^2+ab+b^2) is equal to

Answer 1

Answer:

             a⁶ - b⁶

Step-by-step explanation:

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

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

= (a³ + b³) × (a³ - b³)

= (a³)² - (b³)²

= a⁶ - b⁶

Hope that helps.

Answer 2

Answer: a⁶ - b⁶

Step-by-step explanation:

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

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

= (a³ + b³) × (a³ - b³)

= (a³)² - (b³)²

= a⁶ - b⁶

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