Math, asked by sreehaasinisreehaasi, 3 days ago

polynomial class 9
 {8a}^{3}  -  {b}^{3}  -  {12a}^{2} b -  {6ab}^{2}
factorize it​

Answers

Answered by syedareebandrabi08
8

your answer is in the above picture please make my answer brainliest

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Answered by saichavan
104

Correct Question -

 \sf \: 8a {}^{3}  -  {b}^{3}  - 12 {a}^{2} b   \green{+ } 6a {b}^{2}

From NCERT, STD - 9

Chapter 2 - Polynomials

Exercise - 2.5 | Q. 8.2 : Page 49.

Answer :

\sf \green{Use \: identity \:  -  {(a + b})^{3} =  {a}^{3}   +  {b}^{3} + 3 {a}^{2}b + 3a {b}^{2} }

 \sf \: 8 {a}^{3}  -  {b}^{3}  - 12 {a}^{2} b + 6a {b}^{2}

 \sf \:  =  {(2a)}^{3}  -  {b}^{3}  - 3 {(2a)}^{2} b + 3(2a) {(b)}^{2}

 \sf \:  =  {(2a)}^{3}  -  {b}^{3}   \cancel{- 3 {(2a)}^{2} b } \cancel{+ 3(2a) {(b)}^{2} }

 \sf \:  =  {(2a - b)}^{3}

 \sf \:  = (2a - b)(2a - b)(2a - b)

Hence, Factorized !

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