SOLUTION: Factor the expression on the left side of each equation. Then solve the equation. x^6+16x^3+64=0 I can find the answer in the back of the book however, i do not understand how t

Question 197596This question is from textbook 1
: Factor the expression on the left side of each equation. Then solve the equation.
x^6+16x^3+64=0
I can find the answer in the back of the book however, i do not understand how they got the answer.
The answer is:
(x+2)^2 (x^2-2x+4)^2 This question is from textbook 1

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!

If you look at this, you see that x^6 is x^3 squared and 64 is 8^2. 16 is twice 8, so you can factor it into

Now you can see that this is the sum of 2 cubes. There is a formula for factoring sum of two cubes.
See this --> http://www.purplemath.com/modules/specfact2.htm
Given that info, you can get to the book's answer
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