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+1
42
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avatar+1770 

Please help

RainbowPanda  Sep 5, 2018
 #1
avatar+88871 
+2

These are a little tougher, RP...sad sad wink

 

7) 42m^4  - 48 m^3  - 42m^2  + 48m

GCF 42m^4 and 48m^3 =  6m^3

GCF 42m^2 + 48  = 6m

So we have

6m^3 ( 7m - 8)  - 6m (7m - 8)

(7m - 8) ( 6m^3 - 6m)        ....we can factor 6m out of the second factor

(7m - 8 ) * 6m ( m^2 - 1)    .....m^2 - 1   factors as a difference of squares  = (m + 1) (m -1)

6m ( 7m - 8)(m + 1) (m - 1)

 

 

 

 

8) 56v^4  - 98v^3  - 64v^2 + 112v 

GCF   56v^4  and  98 v^3   =  14v^3

GCF  64 v^2 and 112v  = 16v

So we have

14v^3 ( 4v - 7)  - 16v ( 4v - 7)   

(4v - 7) ( 14v^3 - 16v)   ....we can factor  2v  out of the second factor

(4v - 7)  *2v *  (7v^2 - 8)

2v (4v - 7) (7v^2 - 8) 

 

 

cool cool cool

CPhill  Sep 5, 2018

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