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Factorise k2−64 completely.

Question

Factorise k2−64 completely.

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Solution

Sure, here is the step by step solution:

The given expression is k^2 - 64.

This is a difference of squares, which can be factored as (a+b)(a-b) where a = k and b = 8.

So, k^2 - 64 = (k + 8)(k - 8).

Therefore, the factorization of k^2 - 64 is (k + 8)(k - 8).

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