Math, asked by shariarsibbir, 9 months ago

if a,b,c belongs to N
(a-b-c)^3 =?? ​

Answers

Answered by ItzShinyQueen13
3

Step-by-step explanation:

{(a - b - c)}^{3}  \\  = [(a - b) -c]^{3}  \\  =(a - b)^{3}  - 3  \times {(a - b)}^{2}   \times c + 3 \times (a - b) \times  {c}^{2}  -  {c}^{3}  \\  =  {a}^{3}  - 3 {a}^{2} b + 3a {b}^{2}  -  {b}^{3}  - 3c( {a}^{2} - 2ab  +  {b}^{2} ) + 3a {c}^{2}  - 3b {c}^{2}  -  {c}^{3}  \\  =  {a}^{3}  - 3 {a}^{2} b + 3a {b}^{2}  -  {b}^{3}  - 3 {a}^{2} c + 6abc  -  3 {b}^{2} c + 3a {c}^{2}  - 3b {c}^{2}  -  {c}^{3}  \\

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