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

Question

1419 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-16T22:24:25

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

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.

$c^8-c^4$

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