Hi

Factoring by grouping

2x^3 - 10 + 4x^2 - 5x

2x^3  + 4x^2 - 5x - 10

 2x^2(x+2) - 5(x+2)

(2x^2 -5)(x+2)

 

Answer by duckness73(47)   (Show Source): You can put this solution on YOUR website!
 First, let's rearrange the terms:



 = 



Now, lets take  out of the first two terms:

 = (x + 2) - 5x - 10



Now, lets take out -5 from the second two terms:

(x + 2) - 5x - 10 = (x + 2) - 5(x + 2)



Notice now that x + 2 is a factor in both terms, so we can factor that out, too:

(x + 2)( - 5)



There's your factoring by grouping.





 

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