Question

1. factorise x⁸-1




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the
answer​

Answer 1

Answer in the picture

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Answer 2

x⁸ - 1⁸

identity : x²-y² = x+1)(x-1

as we know, as many times you multiply 1 with 1, it's always 1 at the end..

so 1 = 1² = 1³ =..

(x⁴)² - (1⁴)²

(x⁴+1⁴)(x⁴-1⁴)

(x⁴+1⁴)((x²)²-(1²)²)

(x⁴+1⁴)((x²+1²)(x²-1²))

(x⁴+1⁴)(x²+1²)(x+1)(x-1)