Math, asked by shelly81verma, 11 months ago

answer the question pls..​

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Answered by BrainlyPopularman
1

Answer:

we \:  \: should \:  \: write \:  \: this \:  \: as =  >  \\  \\ (x - a) + (x - b) + (x - c) = 0 \\  \\  =  > (x - a) + (x- b) =  - (x - c) \\  \\  =  > cube \:  \: both \:  \: side  -  \\  \\  =  >  {((x - a)}^{}  +  {(x- b))}^{3}  =  -  {(x - c)}^{3}  \\  \\  =  >  {(x - a)}^{3}  +  {(x - b)}^{3}  + 3(x - a)(x - b)(x - a + x - b) =  -  {(x - c)}^{3}  \\  \\  =  >  {(x - a)}^{3}  +  {(x - b)}^{3}  +  {(x - c)}^{3}  =  - 3(x - a)(x - b)(2x - a - b)  \\  \\  =  - 3(x - a)(x - b)(2x - (a + b)) \\  \\  =  - 3(x - a)(x - b)(2x - (3x - c))  \:   \:  \:  \:  \: \: by \: using \:  \: given \:  \: equation\\  \\  =  - 3(x - a)(x - b)( - x + c) \\  \\  = 3(x - a)(x - b)(x - c)

So , option (b) is correct...

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