Question

Factorize the given expression with the steps also​

Answer 1

Hey.

Refer the below attachment !

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Answer 2

$= > \: 8 {a}^{6} + 5 {a}^{3} + 1 \\ \\ = > 8 {a}^{6} + 6 {a}^{3} - {a}^{3} + 1 \\ \\ = > {(2 {a}^{2} )}^{3} + {( - a)}^{3} + 1 + ( {6a}^{3} ) \\ \\ = > {(2 {a}^{2}) }^{3} + {( - a)}^{3} + 1 - [3(2 {a}^{2} )( - a)((1)] \\ \\ = > {(2 {a}^{2} )}^{3} + {( - a)}^{3} + 1 - 3( {2a}^{2} )( - a)(1)$

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#Using Algebraic Property :-

$= > {a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca)$

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#Now here

$= > a = {2a}^{2} \\ = > b = - a \\ = > c = 1$

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#Hence

$= > (2 {a}^{2} - a + 1)(4 {a}^{4} + {a}^{2} + 1 + 2 {a}^{3} + a - 2 {a}^{2} )$

____________$[ANSWER]$

_-_-_-_-_$BE \: \: BRAINLY$_-_-_-_-_