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Factor (ab + ac + bc)^3 - a^3*b^3.

 Mar 17, 2023
 #1
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Try difference of squares.

 Mar 17, 2023
 #2
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\( (ab + ac + bc)^3 - a^3*b^3.\\ = (ab + ac + bc)^3 - (ab)^3\)

 

difference of 2 cubes

 

\(\boxed{a^3-b^3=(a-b)(a^2+ab+b^2)}\)

 

You can take if from there.

 Mar 18, 2023

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