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Factor the Expressions : (r+6)^3-216 and 7(3k-1)^2+26(3k-1)-8

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(r+6)^3-216

then

7(3k-1)^2+26(3k-1)-8.

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Expressions are factored and the details are provided step-by-step. The solution is well presented.

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Algebra Solutions

1. ( r + 6 ) 3 - 216 = ( r + 6 ) 3 - ( 6 ) 3 [ by rewriting ]

Note that , this is of the form : a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 )

Replacing a = ( r + 6 ) and b = 6 , we get :

( r + 6 ) 3 - 216 = ( [ r + 6 ] - ...

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