Question

factorise the following algebraic expression: x^8 - y^8​

Answer 1

Hope it will help you....

Answer 2

Answer:

⇒ (x⁴ + y⁴)(x² + y²)(x + y)(x - y)

Step-by-step explanation:

Given :

To factorize : x⁸ - y⁸

Solution :

We know that,

Identity : x² - y² = (x + y)(x - y)

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x⁸ - y⁸

⇒ (x⁴)² - (y⁴)²

⇒ (x⁴ + y⁴)(x⁴ - y⁴)

⇒ (x⁴ + y⁴)[(x²)² - (y²)²]

⇒ (x⁴ + y⁴)(x² + y²)(x² - y²)

⇒ (x⁴ + y⁴)(x² + y²)(x + y)(x - y)

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