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Mathematics

Factorise :

32a48a232a^4 - 8a^2

Factorisation

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Answer

32a48a2=8a2(4a21)=8a2((2a)212)=8a2(2a1)(2a+1)32a^4 - 8a^2 = 8a^2(4a^2 - 1)\\[1em] = 8a^2((2a)^2 - 1^2)\\[1em] = 8a^2(2a - 1)(2a + 1)

Hence,32a48a2=8a2(2a1)(2a+1)32a^4 - 8a^2 = 8a^2(2a - 1)(2a + 1).

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