SOLUTION: Which of the following is equivalent to the expression 16x^8-100y^6 ? A. (8x^4+50y^3)(8x^4-50y^3) B. (8x^4+50y^4)(8x^4-50y^2) C. (4x^4+10y^3)(4x^4-10y^3) D. (4x^4+10y^4)(4x^4-1

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Question 960963: Which of the following is equivalent to the expression 16x^8-100y^6 ?
A. (8x^4+50y^3)(8x^4-50y^3)
B. (8x^4+50y^4)(8x^4-50y^2)
C. (4x^4+10y^3)(4x^4-10y^3)
D. (4x^4+10y^4)(4x^4-10y^2)

Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Only one of them.
----
Multiply them and see which one.

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
FOIL them all out and see:

A.  NO
B.  NO
C.  NO
D.  YES

Even though D is the correct answer, it's not completely factored.
If fact D, although mathematically correct, is not what you should 
do first when factoring.

Here's the correct way to do the problem:



Factor out greatest common factor of 4. That's what you should do first,
always!



Write  as  and  as 

 

Factor the difference of squares.



That's the correct complete factorization even though 
it is not listed.

Edwin

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