please give thorough explanations, i am confused about how to solve this properly... I thought using a^2 - b^2 = (a - b)(a + b) would work, but I don't think it is the most efficient way.
(a) Compute the sum:
1012−972+932−892+⋯+52−12.
(b) Compute the sum:
(a+(2n+1)d)2−(a+(2n)d)2+(a+(2n−1)d)2−(a+(2n−2)d)2+⋯+(a+d)2−a2.
+781 Using difference of squares is the most efficient way. I don't know how to do part (b), but I can certainly explain part (a).
