The expression 8x^6 + 64 can be factored using the sum of cubes formula. By recognizing that 8x^6 can be rewritten as (2x^2)^3 and 64 as 4^3, the expression can be factored as 8((2x^2)^3 + 4^3). Applying the sum of cubes formula a^3 + b^3 = (a + b)(a^2 - ab + b^2), the final factorization is 8(2x^2 + 4)((2x^2)^2 - (2x^2)(4) + 4^2). This results in 8(2x^2 + 4)(4x^4 - 8x^2 + 16).
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You can factor this as a sum of cubes.appplejack said:Homework Statement
I need to factor the following.
8x^6+64?
Homework Equations
The Attempt at a Solution
I really have no idea. I can pull 8 out and write 8(x^6)+64 but it doesn't get father than that.
If you're going to do that, pull out 8 from both terms.appplejack said:I can pull 8 out and write 8(x^6)+64 but it doesn't get father than that.