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Find 27a^(3) + 64b^(3) , if 3a + 4b = 10...

Find `27a^(3) + 64b^(3) `, if `3a + 4b = 10` and ab = 2

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SURA PUBLICATION-ALGEBRA-EXERCISE 3.4
  1. Evaluate the following by using identities : 1001^(3)

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  2. If ( x +y+z ) = 9 and ( xy + yz + zx ) = 26 then find the value of x^...

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  3. Find 27a^(3) + 64b^(3) , if 3a + 4b = 10 and ab = 2

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  4. Find x^(3) - y^(3) , find x - y =5 and xy = 14

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  5. If a + (1)/( a) = 6, then find the value of a^(3) + ( 1)/( a^(3))

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  6. If x^(2) + (1)/(x^(2)) = 23, then find the value of x + (1)/( x) and x...

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  7. If ( y - (1)/( y ) )^(3) = 27, then find the value of y^(3) - (1)/( y^...

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  8. Simplify : (2a+3b+4c) ( 4a^(2) + 9b^(2) + 16c^(2) -6ab - 12bc - 8ca...

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  9. Simplify : (x- 2y + 3z ) ( x^(2) + 4y^(2) + 9z^(2) + 2xy + 6yz - 3...

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  10. By using identity evaluate the following : 7^(3) - 10^(3) + 3^(3)

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  11. By using identity evaluate the following : 1+ (1)/( 8) - ( 27)/( 8)

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  12. If 2x - 3y - 4z = 0, then find 8 x^(3) - 27y^(3) - 64z^(3)

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  13. Expand the following using identities : ( 7x + 2y ) ^(2)

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  14. Expand the following using identities : ( 4m - 3m ) ^(2)

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  15. Expand the following using identities : (4a + 3b) ( 4a - 3b )

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  16. Expand the following using identities : ( k +2 ) ( k - 3)

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  17. Expand : (a +b -c)^(2)

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  18. Expand : ( x + 2y + 3z )^(2)

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  19. Find the area of the square whose side length is m + n -q

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  20. Factories the following 25m^(-2)- 16n^(2)

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