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Question
Factorise:
64a6 – 729b6
Sum
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Solution
To factorise: 64a6 – 729b6
Factorise the given expression by using identity.
64a2 = (2a2)3,
729b6 = (3b2)3
So, 64a2 – 729b6 = (2a2)3 – (3b2)3
Let a = 2a2
b = 3b2
= (2a2 – 3b2) (4a4 + 6a2b2 + 9b4)
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