Math, asked by rakshitpratapsingh, 1 year ago

factorise (x-y)³ +(x-y)³ + (z-x)³

Answers

Answered by Nikki57
10
Hey!

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(x - y)^3 + (x - y)^3 + (z - x) ^3

= x³-3x²y+3xy²+y³ + x³-3x²y+3xy²+y³ + z³-3z²x+3zx+x²

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Hope it helps...!!!

riju09: Hey!! There's a mistake!!
riju09: x^3 not x^2
Answered by riju09
11
Hey dear!!

Question ::-

Factories of (x - y)^3 + (x - y)^3 + (z - x)^3

Here's your answer

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 {(x - y)}^{3}  +  {(x - y)}^{3}  +  {(z - x)}^{2}  \\  =  {x}^{3}  - 3 {x}^{2} y + 3x {y}^{2}  +  {y}^{3}  +  {x}^{3}  - 3 {x}^{2} y + 3x {y}^{2}  +  {y}^{3} +  {z}^{3}  - 3 {z}^{2} x +  3z {x}^{2}  +  {x}^{3}  \\  = 3 {x}^{2}  + 2 {y}^{2}  +  {z}^{3}   - 6 {x}^{2} y + 3x {y}^{2}  - 3 {z}^{2} x + 3z {x}^{2}
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Hope it helps!! ☺️

Anonymous: gdhe....apni profile sahi kr
riju09: kar dia
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