This always involves a little trial and error for me. Here's what we know. There's going to be two brackets. The first terms in the brackets will be a factor pair of 35. (35,1 or 7,5) We'll have one plus and one minus. The second numbers will be a factor pair of 99. (99,1 or 33,3 or 11,9) Those will all combine to make +32, which means the plus total will be greater than the minus total. Set up your brackets.
(5a +/- ?)(7a +/- ?) Then I try combinations until I find one that works.
(5a + 11)(7a - 9)
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I could factorize : (3 + x) (17 + 3 x) But have no idea about the next part...
If you mean: 32w+8 then it can be factored to 8(4w+1)
It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one expression in the question: 25a^2 - 100 is NOT two expressions.
That doesn't factor neatly. Using the quadratic formula, we find two real solutions: (-1 plus or minus the square root of 37) divided by 6 x = 0.8471270883830365 x = -1.18046042171637
14 x 7 = 28 + 70 = 98