Oh, what a happy little math problem we have here! To factor 35x + 63y, we can first look for the greatest common factor of the coefficients, which is 7. Then we can factor out the 7 to get 7(5x + 9y). And just like that, we've created a beautiful and simplified expression!
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7(5x + 4y)
5x2
35x + 15x = 50x
1. 3x2+12= 3(x2+4) 2. 7x2+35x= 7x(x+5)
There are an infinite number of expressions equivalent to that one. 3(x + 3y + 5) would be one such example, (x/7)(21 + 63y/x + 105/x) would be another.