Question

Q.3 Factorize the following by using a suitable identity:
$x {}^{8} - y {}^{8}$
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Answer 1

Step-by-step explanation:

= x^8 - y^8

= (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)