SOLUTION: factor 625s^6-5f^6 the correct factorization is?

Question 426811: factor
625s^6-5f^6
the correct factorization is?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

When factoring, always start with the Greatest Common Factor (GCF). The GCF here is 5:

Next look to the other methods of factoring:

Patterns
Trinomials
Factoring by grouping
Factoring by trial and error of the rational roots

Since and since exponents that are multiples of 3 (like 6's) are perfect cubes, the second factor fits the pattern for difference of cubes (the last one above) with the "a" being and the "b" being , Using this pattern to factor it we get:

which simplifies to:

And try as we might (and we should) none of these factors will factor further so we are finished.
RELATED QUESTIONS
Hi, I need help with the following please: 625s^6-5d^6 factor The correct... (answered by stanbon)

factor. 16a^6-2t^6 the correct factorization... (answered by stanbon)

Factor. 81s^6-3p^6 What is the correct... (answered by Gogonati)

Factor 625r^6-5p^6 The correct factorization is? thank... (answered by unlockmath,MathTherapy)

L=4/5F+6 (answered by Fombitz)

Factor out the greatest common factor. 5x^6*20x^5+25x^4 The factorization is _... (answered by checkley77)

please assist me with the following: 1. factor 6f2+5f+1 2. factor 12w2+10w-8 3.... (answered by tutorcecilia)

what would be the correct factorization for 81c^6-3d^6 Thank... (answered by lwsshak3)

Solve the inequality. 3(3f-3) >... (answered by checkley79)