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Question

The factors of 8a3 + b3 − 6ab + 1 are

(a) (2a + b − 1) (4a2 + b2 + 1 − 3ab − 2a)

(b) (2a − b + 1) (4a2 + b2 − 4ab + 1 − 2a + b)

(c) (2a + b + 1) (4a2 + b2 + 1 −2ab − b − 2a)

(d) (2a − 1 + b) (4a2 + 1 − 4a − b − 2ab)

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Solution

The given expression to be factorized is

This can be written in the form

Recall the formula

Using the above formula, we have

So, the correct choice is (c).


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