Math, asked by raiuttam7355, 2 months ago

factorise
27 {x}^{3 }  +  {y}^{3}  +  {z}^{3}  - 9xyz

Answers

Answered by saboohi7869
0

Answer:

27x

3

+y

3

+z

3

−9xyz

=(3x)

3

+y

3

+z

3

−9xyz

=(3x)

3

+y

3

+z

3

−3×3x×y×z

using identity

a

3

+b

3

+c

3

−3abc=(a+b+c)(a

2

+b

2

+c

2

−ab−bc−ca)

Putting a=3x,b=y,c=z

=(3x+y+z)(9x

2

+y

2

+z

2

−3xy−yz−3zx).

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2

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