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Solution - Simplification or other simple results

9v25v5
9v^2-5v-5

Step by Step Solution

Step  1  :

Equation at the end of step  1  :

  (((4•(v2))-2v)-6)+((5v2-3v)+1)

Step  2  :

Equation at the end of step  2  :

  ((22v2 -  2v) -  6) +  (5v2 - 3v + 1)

Step  3  :

Trying to factor by splitting the middle term

 3.1     Factoring  9v2-5v-5 

The first term is,  9v2  its coefficient is  9 .
The middle term is,  -5v  its coefficient is  -5 .
The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   9 • -5 = -45 

Step-2 : Find two factors of  -45  whose sum equals the coefficient of the middle term, which is   -5 .

     -45   +   1   =   -44
     -15   +   3   =   -12
     -9   +   5   =   -4
     -5   +   9   =   4
     -3   +   15   =   12
     -1   +   45   =   44


Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Final result :

  9v2 - 5v - 5

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