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If 3a + 5b + 4c= 0, show that: 27a^(3) +...

If `3a + 5b + 4c= 0`, show that: `27a^(3) + 125b^(3) + 64 c^(3) = 180 abc`

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ICSE-EXPANSIONS-Exercise 4(D)
  1. In the expansion of (2x^(2)-8) (x-4)^(2), find the value of coeffici...

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  2. In the expansion of (2x^(2)-8) (x-4)^(2), find the value of constant...

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  3. If x gt 0 and x^(2) +(1)/(9x^(2))= (25)/(36), find x^(3) + (1)/(27x^(3...

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  4. If 2(x^(2) + 1)= 5x, find x- (1)/(x)

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  5. If 2(x^(2) + 1)= 5x, find x^(3)- (1)/(x^(3))

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  6. If a^(2) + b^(2)= 34 and ab= 12, find: 3(a +b)^(2) + 5(a-b)^(2)

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  7. If a^(2) + b^(2)= 34 and ab= 12, find: 7(a-b)^(2) - 2(a +b)^(2)

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  8. If 3x- (4)/(x)= 4 and x ne 0, find 27 x^(3)- (64)/(x^(3))

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  9. If x^(2) + (1)/(x^(2))= 7 and x ne 0, find the value of : 7x^(3) + 8x-...

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  10. If x= (1)/(x) - 5 and x ne 5, find x^(2)- (1)/(x^(2))

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  11. If x= (1)/(5-x) and x ne 5, find x^(3) + (1)/(x^(3))

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  12. If 3a + 5b + 4c= 0, show that: 27a^(3) + 125b^(3) + 64 c^(3) = 180 abc

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  13. The sum of two numbers is 7 and the sum of their cubes is 133. Find th...

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  14. In each of the following find the value of 'a' 4x^(2) + ax + 9 = (2...

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  15. In each of the following find the value of 'a' 4x^(2) + ax + 9 = (2x...

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  16. In each of the following find the value of 'a' 9x^(2) + (7a-5)x + 25...

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  17. If (x^(2) + 1)/(x)= 3(1)/(3) and x gt 1, find x- (1)/(x)

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  18. If (x^(2) + 1)/(x)= 3(1)/(3) and x gt 1, find x^(3)- (1)/(x^(3))

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  19. The difference between two positive numbers is 4 and the difference be...

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  20. The difference between two positive numbers is 4 and the difference be...

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