The common factors are: 1, 3
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The factors of 49 are: 1 7 49 The prime factors are: 7 x 7
Well, honey, first things first, you group the terms with common variables together. So, you have (Ab - ad) + (CD - cb). Then, you factor out the common factors from each group. That gives you A(b - d) + C(D - b). Voila! That's your factored expression.
The GCF is 27b.
Yes. Since they are rational numbers, let's call the first one a/b and the second one c/d where a,b,c, and d are integers. Now we can subtract by finding a common denominator. Let's use bd. So we have ad/bd-cb/bc= (ad-bc)/CD which is rational since we know ad and bc are integers being the product of integers and CD is also an integers. Call ad-bd=P and call CD=Q where P and Q are integers. We now see the difference is of two rationals is rational.
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