An algebra problem by Rafaela L

Algebra Level 2

Factor the expression:

c 3 − 512 c^{3} - 512

( c − 8 ) ( c 2 + 8 c − 64 ) (c - 8)(c^{2} + 8c - 64) ( c − 8 ) ( c 2 + 8 c + 64 ) (c - 8)(c^{2} + 8c + 64) ( c − 8 ) 2 ( c − 8 ) (c - 8)^{2}(c - 8) ( c + 8 ) ( c 2 + 8 c − 64 ) (c + 8)(c^{2} + 8c - 64)

Rafaela L by Rafaela L , 19, USA

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1 solution

Angela Fajardo
Jan 3, 2016

Since 512 is 8 3 8^{3} ,

Following this:

a 3 a^{3} - b 3 b^{3} =(a - b)( a 2 a^{2} + ab + b 2 b^{2} )

c 3 c^{3} - 8 3 8^{3} =(c - 8)( c 2 c^{2} + 8c + 64)

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Quiet simple one !!

Akshat Sharda - 5 years, 5 months ago

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