3 c^3 ( 5 c + 2 c^ )

Question

3 c^3 ( 5 c + 2 c^ )

Answer 1

 3 c³  (5C +2 c² ) :

 To simplify any expression you use order of operation.

   

 You have one parenthesis that can not be simplified any further.

 

  Use distributive law, and multiply exponents with the same base.

 

   3 c³ ( 5c + 2 c² ) = 15c⁴  + 6 c⁵ 

Answer 2

Eme, something is missing in the expression you wrote above. In any case, let's assume that we had

3c³(5c+2c^q)  where q is any integer (or even just any real number as a matter of fact). Then you would have

3c³*5c + 3c³*2c^q  where we used the distributive property of multiplication with respect to addition.

Now each term in the addition is a monomial and all you have to do is  multiplying the numeric coefficient and compute the exponents of the letteral, c, by applying the rule  cⁿ*c^m=c^n+m. Thus we find

15c³⁺¹ +6c^3+q  = 15c⁴+6c^3+q.

To solve your given assignment, just replace q with the proper value given in the text of your problem and that you forgot to include in the expression at the top.