How do you multiply #(c^4+c^2)(c^4-c^2)#?

1 Answer
Mar 16, 2018

Answer:

#(c^4+c^2)(c^4-c^2)=color(blue)(c^8-c^4#

Explanation:

Multiply (Expand):

#(c^4+c^2)(c^4-c^2)#

Use the difference of squares:

#a^2-b^2=(a+b)(a-b),#

where:

#a=c^4# and #b=c^2#.

#(c^4)^2-(c^2)^2#

Apply power rule: #(a^m)^n=a^(m*n)#

#c^(4*2)-c^(2*2)#

Simplify.

#c^8-c^4#