SOLUTION: I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!!! I would deeply appreciate it!!
Factoring Qu
Algebra.Com
Question 166270This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!!! I would deeply appreciate it!!
Factoring Quadratic Polynomials
Factor completely. If the polynomial is prime, say so.
x^6-64y^6
This question is from textbook Algebra and Trigonometry Structure and Method book 2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.
Rewrite as .
Rewrite as .
Notice how we have a difference of squares. So let's use the difference of squares formula to factor the expression:
Factor the expression using the difference of squares.
----------------------------------------------------------
Now let's factor
Start with the given expression.
Rewrite as . Rewrite as .
Now factor by using the sum of cubes formula. Remember the sum of cubes formula is
Multiply
So factors to .
In other words,
----------------------------------------------------------
Now let's factor
Start with the given expression.
Rewrite as . Rewrite as .
Now factor by using the difference of cubes formula. Remember the difference of cubes formula is
Multiply
So factors to .
In other words,
=====================================================
Answer:
So completely factors to (I just rearranged the factors a bit)
Note: the order of the factors does not matter
RELATED QUESTIONS
I have been working on this math problem and I can't figure it out!! I was wondering if... (answered by Alan3354,EMStelley,Edwin McCravy)
I have been working on this math problem and I can't seem to figure it out. I was... (answered by Alan3354)
I have been working on this math problem and I can't seem to figure it out. I was... (answered by dabanfield)
I have been struggling to figure out this math problem and I was wondering if someone... (answered by ankor@dixie-net.com)
I have been struggling to figure out this math problem and I was wondering if someone... (answered by Alan3354)
I have been working on this math problem and can't figure it out and I was wondering if... (answered by suhasbhat)
I have been working on this math problem and I can't figure it out. I was wondering if... (answered by stanbon)
I have been working on this math problem and I can't figure it out. I was wondering if... (answered by josmiceli)
I have been working on this math problem and I cant' figure it out and I was wondering if (answered by Mathtut)