find the least common denominator for these
two rational expressions.
-8
y2 - 2y +1 y2 – 6y +5

-7y2 - 8y + 5

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "y2"   was replaced by   "y^2".  1 more similar replacement(s).Step  1  :

Equation at the end of step  1  :

 0 -  23y2) -  2y) +  y2) -  6y) +  5

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -7y2 - 8y + 5  =   -1 • (7y2 + 8y - 5)  

Trying to factor by splitting the middle term

3.2     Factoring  7y2 + 8y - 5  

The first term is,  7y2  its coefficient is  7 .

The middle term is,  +8y  its coefficient is  8 .

The last term, "the constant", is  -5  

Step-1 : Multiply the coefficient of the first term by the constant   7 • -5 = -35  

Step-2 : Find two factors of  -35  whose sum equals the coefficient of the middle term, which is   8 .

     -35    +    1    =    -34  

     -7    +    5    =    -2  

     -5    +    7    =    2  

     -1    +    35    =    34  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 -7y2 - 8y + 5 Hope this helps