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professor190 [17]
3 years ago
15

Please factor y^2+5y+6

Mathematics
1 answer:
jeyben [28]3 years ago
4 0
The answer is:  "  (y + 3) (y + 2)  " .
__________________________________________________
      Or, write as:  " (y + 2) (y + 3) " .
__________________________________________________
    Given:  "  y² + 5y + 6 " ;
__________________________________________________
       we see that: 
___________________
we have +5y and +6 ;
___________________
    so, the factors 6 that would add up to "5" would be:
___________________________________________
    1, 6 = 7 ; no. 
    2, 3 = 5 ; yes!
    3, 2 = 5 ; yes! (same as above).
    6, 1 = 7 ; no (same as above).
___________________________________________
   So, we have:  (y + 3) (y + 2) = y² + 5y + 6 ;

Or ;  (y + 2) (y + 3) = y² + 5y + 6 .
___________________________________________
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