Question

x^6-729
please answer this question​

Answer 1

$Given \: x^{6} - 729$

$= x^{6} - 3^{6}$

$= (x^{3})^{2} - (3^{3})^{2}$

/* By algebraic identity */

$\boxed{\pink{ a^{2} - b^{2} = (a+b)(a-b)}}$

$= (x^{3} + y^{3}) (x^{3} - y^{3})$

$= (x+y)(x^{2} - xy + y^{2} ) (x-y)(x^{2} +xy + y^{2} )$

Therefore.,

$\red{ Factors \: of \: x^{6} - 729}$

$\green {= (x+y)(x^{2} - xy + y^{2} ) (x-y)(x^{2} +xy + y^{2} ) }$

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Answer 2

Answer:

See the pic for full explanation