First distribute the terms in the parentheses:
(a-8)(a+7) = a^2 + 7a - 8a - 56 = a^2 - a - 56
(a+10)(a-11) = a^2 - 11a + 10a - 110 = a^2 - a - 110
Now subtract the second expression from the first:
(a^2 - a - 56) - (a^2 - a - 110)= a^2 - a - 56 - a^2 + a + 110= -56 + 110= 54
Therefore, (a-8)(a+7) - (a+10)(a-11) = 54.
First distribute the terms in the parentheses:
(a-8)(a+7) = a^2 + 7a - 8a - 56 = a^2 - a - 56
(a+10)(a-11) = a^2 - 11a + 10a - 110 = a^2 - a - 110
Now subtract the second expression from the first:
(a^2 - a - 56) - (a^2 - a - 110)
= a^2 - a - 56 - a^2 + a + 110
= -56 + 110
= 54
Therefore, (a-8)(a+7) - (a+10)(a-11) = 54.