Mathematics
Factorise :
a4 - (a2 - 3b2)2
Factorisation
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Answer
a4 - (a2 - 3b2)2
= (a2)2 - (a2 - 3b2)2
Using the formula
[∵ (x2 - y2) = (x + y)(x - y)]
= ((a2) + (a2 - 3b2))((a2) - (a2 - 3b2))
= (a2 + a2 - 3b2)(a2 - a2 + 3b2)
= (2a2- 3b2)(3b2)
Hence,a4 - (a2 - 3b2)2 = 3b2(2a2- 3b2)
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