Answer
$x^2 - 12x + 35$
Work Step by Step
By using the FOIL method, we multiply the first, outside, inside, and the last element of each bracket and we add them.
$(x-5)(x-7) = x\times x + x\times (-7) + (-5)\times x + (-5)\times (-7) = x^2 - 12x + 35$