Question

What is the factor of 125a³ - 1?

Answer 1

Answer:

(5a)3-1 is the factor......

Answer 2

$Given \: 125a^{3} - 1$

$= (5a)^{3} - 1^{3}$

$= (5a-1)[ (5a)^{2} + (5a)\times 1 + 1^{2} ]$

/* By Algebraic Identity */

$\boxed{\pink{ x^{3}-y^{3} = (x-y)(x^{2}+xy+y^{2})}}$

$= (5a-1)(25a^{2}+5a+1)$

Therefore.,

$\red{ Factors \: of \: 125a^{3} - 1 }$

$\green {= (5a-1)(25a^{2}+5a+1) }$

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