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Using algebraic identity, find the coeff...

Using algebraic identity, find the coefficient of `x^(2)`, x and constant term without actual expansion.
`(x+5) ( x+ 6) (x+ 7)`

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The correct Answer is:
Constant term = abc ` = 5 xx 6 xx 7`
Co-efficient of constant term = 210
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SURA PUBLICATION-ALGEBRA-EXERCISE 3.4
  1. Expand the following : (2p+3) ( 2p-4) ( 2p -5)

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  2. Expand the following : (3a+ 1) ( 3a -2) ( 3a + 4 )

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  3. Using algebraic identity, find the coefficient of x^(2), x and constan...

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  4. Using algebraic identity, find the coefficient of x^(2), x and constan...

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  5. If ( x + a) ( x + b ) (x + c ) = x^(3) + 14x^(2) + 59x + 70, find the ...

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  6. If ( x + a) ( x + b ) (x + c ) = x^(3) + 14x^(2) + 59x + 70, find the ...

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  7. If ( x + a) ( x + b ) (x + c ) = x^(3) + 14x^(2) + 59x + 70, find the ...

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  8. If ( x + a) ( x + b ) (x + c ) = x^(3) + 14x^(2) + 59x + 70, find the ...

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  9. Expand (3a-4b)^(3)

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  10. Expand ( x + (1)/(y))^(3)

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  11. Evaluate the following by using identities : 98^(3)

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  12. Evaluate the following by using identities : 1001^(3)

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

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

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

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

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

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

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

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

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