Final answer:
The expression (-35+6)(-35+6) represents the square of a binomial.
When simplified, it equals 1225 - 420 + 36, which then combines to give a final result of 841.
Step-by-step explanation:
FOIL stands for First, Outer, Inner, Last. We multiply the first terms, the outer terms, the inner terms, and the last terms, and then combine like terms:
(-35+6)(-35+6) = (-35)(-35) + (-35)(6) + (6)(-35) + (6)(6)
= (-35)^2 + (-210) + (-210) + 36
= 1225 - 420 + 36
= 841.