# How do you factor #4a^4 + b^4#?

##### 1 Answer

Jun 6, 2016

#### Explanation:

Given,

#4a^4+b^4#

Rewrite each term such that both terms have an exponent of

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

Recall that the expression follows the sum of squares pattern,

#=color(green)(|bar(ul(color(white)(a/a)color(black)((2a^2+b^2i)(2a^2-b^2i))color(white)(a/a)|)))#