Solving General Arithmatic: A^{n}(B+C)^{n} = (AB+AC)^{n}

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Can I make this general statement?

A^{n}(B+C)^{n} = (AB+AC)^{n}?
 
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You're comfortable that (ab)^n = (a^n)(b^n) (aside from a few restrictions) correct? Is there anything you can do to change your expression into the form (a^n)(b^n)?
 
Titans86 said:
Can I make this general statement?

A^{n}(B+C)^{n} = (AB+AC)^{n}?

If those are matrices, do you think you might need that A and B+C commute to make that rearrangement?
 
Last edited:
not matrices but polynomials...
 
They commute. So you should be fine.
 

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