x2 - 64 can be written as x2 - 82, which is of the form of a2 - b2.
And a2 - b2 is factored as (a-b)(a+b).
Therefore, x2 - 64 is factored as (x+8)(x-8).
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If that was - 10x + 21, it would factor to (x - 3)(x - 7) If that was + 10x + 21, it would factor to (x + 3)(x + 7) As it is, the solutions are irrational.
(x+a) (x-a)
x(x-4)
There are 5 factor pairs of 36:1 x 362 x 183 x 124 x 96 x 6
The factor tree of 52 is 52 4 x 13 (2x2) x 13 The factor tree is finished. The prime factorization of 52 is 2 x 2 x 13.