You can
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FOIL 'em all out and see:
a. (y-7)(y-5) = y²-5y-7y+35 = y²-12y+35 No, the sign of -12y is wrong
b. (y+7)(y-5) = y²-5y+7y+35 = y²+2y+35 No, the middle term is wrong
c. (y+7)(y+5) = y²+5y+7y+35 = y²+12y+35 Yes, that's the same as the original.
d. prime. No for c is the correct factorization.
Answer: c
Edwin