Math, asked by 4444tclgpdi11h, 7 months ago

please solve this attached question as soon as possible ​

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Answered by sphinxlky
0

Step-by-step explanation:

(a+b)^3= (a+b)^2 * (a+b)

Answered by Anonymous
1

Answer:

(a + b {)}^{3}  = (a + b)(a + b)(a + b) \\  =( a(a + b) + b(a + b))(a + b) \\  =  ({a}^{2}  + ab + ab +  {b}^{2}) (a + b) \\  = a( {a}^{2}  + 2ab +  {b}^{2} ) + b( {a}^{2}  + 2ab +  {b}^{2}) \\  =  {a}^{3}   + 2 {a}^{2}b + a {b}^{2}   +  {a}^{2} b + 2a {b}^{2}  +  {b}^{3}  \\  =  {a}^{3}  +  {b}^{3 }  + 2 {a}^{2} b +  {a}^{2} b + 2a {b}^{2}  + a {b}^{2}  \\  =  {a}^{3}  +  {b}^{3}  + 3 { a}^{2} b + 3a {b}^{2}  \\  =  {a}^{3}  +  {b}^{3}  + 3ab(a + b) \\ hence \:  \:  \:  \: proved

I hope it will help you

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