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Verify : x^3 + y^3 = (x + y) (x^2- xy + ...

Verify : `x^3 + y^3 = (x + y) (x^2- xy + y^2)`

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Verify (i) x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2)) (ii) x ^(3) -y ^(3) = (x-y) (x ^(2) +xy +y ^(2)) using some non-zone positive integers and check by actual multiplication. Can you call these as identities ?

Verify that x^3 + y^3 + z^3- 3xyz=1/2 (x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2]

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VGS PUBLICATION-BRILLIANT-POLYNOMIAL AND FACTORIISATION-EXERCISE
  1. Factorise of the following : 1-64a^3-12a + 48a^2.

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  2. Factorise of the following : 8p^3-12/5p^2+6/25p -1/125.

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  3. Verify : x^3 + y^3 = (x + y) (x^2- xy + y^2)

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  4. Verify x^3-y^3=(x-y)(x^2+xy+y^2) Using some non-zero positive integers...

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  5. Factorise : 27a^3 + 64b^3.

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  6. Factorise : 343y^3 - 1000.

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  7. Factorise : 27x^3+y^3+z^3-9xyz using identity.

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  8. x^(3)+y^(3)+z^(3)-3xyz = 1/2 (x+y+z) [(x-y)^(2)+(y-z)^(2)+(z-x)^(2)] స...

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  9. x+y+z=0 అయితే x^(3)+y^(3)+z^(3)=3xyz అని నిరూపించండి.

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  10. Show that (a-b)^3+(b-c)^3+(c-a)^3=3(a-b)(b-c)(c-a)

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  11. Without actual calculating the cubes, find the value of the following ...

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  12. Without actual calculating the cubes, find the value of the following ...

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  13. Without actual calculating the cubes, find the value of the following....

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  14. Without actual calculating the cubes , find the value of each of the f...

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  15. Give possible expressions for the length and breadth of the rectangle ...

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  16. Give possible expressions for the length and breadth of the rectangle ...

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  17. Whar are tge possible expression for the dimension the cuboids whose v...

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  18. Whar are tge possible expression for the dimension the cuboids whose v...

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  19. If 2 (a ^(12) + b ^(2)) = (a+b)^(2), then show that a =b

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  20. Write a binomial and trinomial in variable x.

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