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Factor each completely.

0 votes
Factor each completely.
1) x^3 + 125
2) a^3 + 64
3) x^3 − 64
4) u^3 + 8
asked Oct 23, 2018 in ALGEBRA 2 by anonymous

1 Answer

0 votes
1)
x^3 + 125  =  x^3 + 5^3
                 =  (x + 5)(x^2 - 5x + 25)
 
2)
a^3 + 64  =  a^3 + 4^3
               =  (a + 4)(a^2 - 4a + 16)
 
3)
x^3 − 64  =  x^3 - 4^3
               =  (x - 4)(x^2 + 4x + 16)
 
4)
u^3 + 8  =  u^3 + 2^3
              =  (u + 2)(u^2 - 2u + 4)
Answer :
1)  x^3 + 125  =  (x + 5)(x^2 - 5x + 25)
2)  a^3 + 64  =  (a + 4)(a^2 - 4a + 16)
3)  x^3 − 64  =  (x - 4)(x^2 + 4x + 16)
4)  u^3 + 8  =  (u + 2)(u^2 - 2u + 4).
answered Oct 24, 2018 by homeworkhelp Mentor

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