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Question

The factors of 8a3+b36ab+1 are:


A

(2a+b1)(4a2+b2+13ab2a)

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B

(2ab+1)(4a2+b24ab+12a+b)

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C

(2a+b+1)(4a2+b2+12abb2a)

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D

(2a1+b)(4a2+14ab2ab)

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Solution

(2a)3+(b)3+(1)33×2a×b×1=(2a+ab+1)[(2a)2+b2+12a×bb×11×2a]=(2a+ab+1)(4a2+b2+12abb2a)


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