1) x2-8x+15 2)x2-8+7

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Both expressions are quadratic trinomials in the form of (ax^{2} + bx + c).

1) (x^{2} - 8x + 15)
This trinomial can be factored as ((x - 5)(x - 3)) because ((x - 5)(x - 3) = x^{2} - 3x - 5x + 15 = x^{2} - 8x + 15). Therefore, the factored form of the expression is ((x - 5)(x - 3)).

2) (x^{2} - 8 + 7)
This trinomial can be simplified by combining like terms. (x^{2} - 8 + 7 = x^{2} - 1). So, the simplified expression is (x^{2} - 1).