The GCF is 5b.
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The greatest common factor (GCF) of 15ab and 5b2 is 5b.
5a2 - 20ab - 25b2 = 5(a2 - 4ab - 5b2) = 5(a2 - 4ba - 5b2) since -5b*b = -5b2 and -5b + b = -4b, then = 5(a - 5b)(a + b)
12ab + 13b + 4 (assuming there's addition in the spaces)
Well, assuming that x ∈ R and assuming that by "sum" you mean the sum of the area under curve and above the line y=0, and that the term you are giving is a function where f(x) = 10x - 62, then.. f(x) = 10x - 36 ∴∫f(x)dx = 5x2 - 36x + C Now, if you know the range in which you want this area, you can say: a ∫f(x)dx = 5a2 - 36a - 5b2 + 36b b But I'm guessing that this isn't a calculus question at all, and that you should probably go do your own homework.