SOLUTION: Which of the following is the complete factorization of (64-x^6)? Here is a screenshot below of my answer choices, I don't want to confuse you guys with me typing it. Thank

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Which of the following is the complete factorization of (64-x^6)? Here is a screenshot below of my answer choices, I don't want to confuse you guys with me typing it. Thank       Log On


   



Question 1007002: Which of the following is the complete factorization of (64-x^6)?
Here is a screenshot below of my answer choices, I don't want to confuse you guys with me typing it.
Thank you!
Link to screenshot : http://prntscr.com/98wh58

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
See first, difference of squares: (8-x^3)(8+x^3)

and there is a formula for sum and for difference of cubes. You could figure out the formulas yourself picking divisors of 2-x and 2+x and see what happens, or you can look for the formulas in some written source, like https://en.wikipedia.org/wiki/Factorization#Sum.2Fdifference_of_two_cubes

Yours is %282-x%29%282%5E2%2B2x%2Bx%5E2%29%282%2Bx%29%282%5E2-2x%2Bx%5E2%29.

I only explained the factorization and used a couple of formulas to do the factorization.

Pick the choice that matches!
You might need to make use of a couple of number properties... do so and pick the choice item which matches.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Which of the following is the complete factorization of (64-x^6)?
Here is a screenshot below of my answer choices, I don't want to confuse you guys with me typing it.
Thank you!
Link to screenshot : http://prntscr.com/98wh58
64+-+x%5E6
%288%29%5E2+-+%28x%5E3%29%5E2
%288+-+x%5E3%29%288+%2B+x%5E3%29 ------ Applying DIFFERENCE of squares to expression
%282+-+x%29%282%5E2+%2B+2x+%2B+x%5E2%29%282+%2B+x%29%282%5E2+-+2x+%2B+x%5E2%29 -------- Applying SUM of squares factoring to %282%29%5E3+-+%28x%29%5E3 and %282%29%5E3+%2B+%28x%29%5E3
highlight_green%28%282+-+x%29%284+%2B+2x+%2B+x%5E2%29%282+%2B+x%29%284+-+2x+%2B+x%5E2%29%29