Math, asked by arya104, 1 year ago

8a3b3-27 factorization

Answers

Answered by oooo14
2
(2ab)3 - (3)3
= (2ab-3)(2ab-3)(2ab-3)
Answered by ClaryHerondale
2

8 {a}^{3}  {b}^{3}  - 27 \\  \\
It could be written as
 {2ab}^{3}  -  {3}^{3}
now \: its \: in \: form \: of \:  {a}^{3}  -  {b}^{3}
and as we know that,
 {a}^{3}  -  {b}^{3}  = (a - b)( {a}^{2}   +  ab +  {b}^{2} )
Therefore, the whole equation becomes:

(2ab - 3)(4 {a}^{2}  {b}^{2}  + 3ab + 9)
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