Q5 of 53 Page 166

Factorise the following:

x8 – y8

⇒ 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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4x2 + 12xy + 5y2

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x + x2 + 1