Factorize each of the following expressions:
xy (y8 – x8)
= xy [(y4)2 – (x4)2]
= xy (y4 + x4) (y4 – x4)
= xy (y4 + x4) (y2 + x2) (y2 – x2)
= xy (y4 + x4) (y2 + x2) (y + x) (y – x)
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Factorize each of the following expressions:
xy (y8 – x8)
= xy [(y4)2 – (x4)2]
= xy (y4 + x4) (y4 – x4)
= xy (y4 + x4) (y2 + x2) (y2 – x2)
= xy (y4 + x4) (y2 + x2) (y + x) (y – x)