How do you find the product of #3p^4(4p^4+7p^3+4p+1)#?

1 Answer
Nov 30, 2016

Answer:

#12p^8 + 21p^7 + 12p^5 + 3p^4#

Explanation:

Multiply #3p^4# by each term in parenthesis:

#(3p^4*4p^4) + (3p^4*7p^3) + (3p^4*4p) + (3p^4*1) ->#

#(3p^4*4p^4) + (3p^4*7p^3) + (3p^4*4p^1) + (3p^4*1) ->#

Then multiply the numbers and the #x# terms using the rules for exponents:

#12p^(4+4) + 21p^(4+3) + 12p^(4+1) + 3p^4 ->#

#12p^8 + 21p^7 + 12p^5 + 3p^4#