SOLUTION: Factor completely(ANSWER AND SOLUTION PLEASE!) 1. x^8+y^8 2. x^5-32y^5 3. a^21+128c^7 4. x^10+y^10 5. m^11-n^11

Algebra ->  Finance -> SOLUTION: Factor completely(ANSWER AND SOLUTION PLEASE!) 1. x^8+y^8 2. x^5-32y^5 3. a^21+128c^7 4. x^10+y^10 5. m^11-n^11      Log On


   

Question 1038688: Factor completely(ANSWER AND SOLUTION PLEASE!)
1. x^8+y^8
2. x^5-32y^5
3. a^21+128c^7
4. x^10+y^10
5. m^11-n^11
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1. x^8+y^8
Not factorable with integers.
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2. x^5-32y^5
= x^5 - (2y)^5
= (x - 2y)*(x^4 + x^3*2y + x^2*(2y)^2 + x*(2y)^3 + (2y)^4)
= %28x-2y%29%2A%28x%5E4+%2B+2x%5E3y+%2B+4x%5E2y%5E2+%2B+8xy%5E3+%2B+16y%5E4%29
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3. a^21+128c^7
= (a^3)^7 + (2c)^7
=
4. x^10+y^10
= (x^2)^5 + (y^2)^5
Similar to #3
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5. m^11-n^11
Similar to #2
= (m-n)*(m^10 ..... n^10)
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