Math, asked by maheshparmar151070, 4 months ago

(2x + y)³ + (2x - y)²​

Answers

Answered by Sankalp050
2

Step-by-step explanation:

 {(2x + y)}^{3}  +  {(2x - y)}^{2}

 {(a + b)}^{3}  =  {a}^{3}  +  {b}^{3}  + 3ab(a + b)

 {(a - b)}^{2}  =  {a}^{2}  - 2ab +   {b}^{2}

 = ( {(2x)}^{3}  +  {y}^{3}  + 3(2x)(y)(2x + y)) + ( {(2x)}^{2}  - 2(2x)(y)  +  {y}^{2}

 = 8 {x}^{3}  +  {y}^{3}  + 6xy(2x + y) + 8 {x}^{2}  - 4xy +  {y}^{2}

 = 8 {x}^{3}  +  {y}^{3}  + 12 {x}^{2} y + 6x {y}^{2}  + 8 {x}^{2}  - 4xy +  {y}^{2}

Answered by Anonymous
2

Step-by-step explanation:

Refer to the attachment.........

Hope it helps u......

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