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Find the product of the following. (a^...

Find the product of the following.
`(a^2+b^2+c^2-ab+bc+ca) (a+b-c)`

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KALYANI PUBLICATION-HARDER PRODUCT AND FACTORISATION -EXERCISE
  1. Find the division of {a^3+8-9b(3b^2-2a)}-:(a^2+9b^2+4-2a+3ab+6b)

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  2. Find the product of the following. (x^2+y^2+z^2+xy+xz-yz) (x-y-z)

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  3. Find the product of the following. (a^2+b^2+c^2-ab+bc+ca) (a+b-c)

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  4. Find the product of the following. (x^2+9y^2+4-3xy-2x-6y) (x+3y+2)

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  5. Find the product of the following. (p^2+4q^2+r^2+2pq+pr-2qr) (p-2q-r...

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  6. Find the product of the following. (4x^2+9y^2+z^2+6xy+2xz-3yz) (2x-3...

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  7. Find the product of the following. (a^2+4b^2+2ab-3a+6b+9)(a-2b+3)

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  8. Find the product of the following. (9a^2+25b^2+15ab+12a-20b+16)(3a-5...

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  9. Find the product of the following. (9x^2+16y^2+12xy+6x-8y+4)(3x-4y-...

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  10. If x-2y = 4 then prove that x^3-8y^3-24xy-64=0

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  11. If x-y=6 then prove that x^3-y^3-18xy-216=0

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  12. If a + 2b = 4c, then prove that a^3+8b^3-64c^3+24abc=0

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  13. If x = b + c - 2a, y = c + a-2b , z = a + b-2c, then prove that x^3...

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  14. If 3x + 2y = -1, then prove that 27x^3+8y^3+1-18xy = 0

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  15. If x = a^2 - b^2, y = 2ab, z = a^2+b^2, then prove that x^6+y^6-z...

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  16. If x = 658, y = 668, z = 674, then prove that x^3+y^3+z^3-3xyz=39200...

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  17. If a = 37, b = 36, c = 38, then prove that a^3+b^3+c^3-3abc=333

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  18. If x+y+z=6, and xy+yz+zx=12, then prove that x^3+y^3+z^3=3xyz

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  19. If a = x+y, b=x-y and c = x+2y, then show that a^3+b^3+c^3-3abc =7y^...

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  20. If a = x+y, b = y+z, and c = z+x then show that a^3+b^3+c^3-3abc =2(...

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