Coordinate Geometry

Question

Factorise each of the following:

a4 - b4    (b)a4 - 16b4

Answer

a4 - b4
a4 - b4 = (a2)2 - (b2)2 = (a2 + b2) (a2 - b2)
| Using Identity III
= (a2 + b2)(a + b)(a - b)
| Using Identity III

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