How do you multiply #(9p^3+10)^2#?

1 Answer
Jan 9, 2018

Answer:

#81p^6+180p^3+100#

Explanation:

#(9p^3+10)^2=(9p^3+10)(9p^3+10)#

#"each term in the second factor is multiplied by each"#
#"term in the first factor"#

#color(red)(9p^3)(9p^3+10)color(red)(+10)(9p^3+10)#

#"distributing gives"#

#81p^6+90p^3+90p^3+100#

#=81p^6+180p^3+100#