Mathematics
Factorise the following:
πa5 - π3ab2
Factorisation
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Answer
πa5 - π3ab2
= πa(a4 - π2b2)
= πa[(a2)2 - (πb)2].
Using identity,
a2 - b2 = (a - b)(a + b).
πa[(a2)2 - (πb)2] = πa(a2 - πb)(a2 + πb).
Hence, πa5 - π3ab2 = πa(a2 - πb)(a2 + πb).
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