Math, asked by DANISHSADIQ, 8 months ago


(a + b) {}^{3}
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Answers

Answered by Anonymous
0

Answer:

 {(a  + b})^{3}  =  ({a + b})^{2} (a + b) \\  \\  =  >(  {a }^{2}  +  {b}^{2}  + 2ab)(a + b) \\  \\  \\  =  >  {a}^{3}  +  {a}^{2} b +  {b}^{2} a +  {b}^{3}  + 2 {a}^{2} b + 2a {b}^{2}  \\  \\  \\  =  >  {a}^{3}  +  {b}^{3}  + 3 {a}^{2} b + 3 {b}^{2} a

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Answered by Anonymous
18

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(a+b)³=(a+b)(a+b)(a+b)___multiply (a+b) and (a+b)

Now

(a+b)³=(a²+ab+ab+b²) (a+b)

(a+b)³=(a²+2ab+b²) (a+b)

(a+b)³=a³+a²b+2a²b+2ab²+ab²+b³____combine like terms

Now

(a+b)³=a³+3a²b+3ab²+b³

Or

(a+b)³=a³+b³+3ab(a+b)

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