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Verify (a + b + c) (a ^(2) +b ^(2) + c ^...

Verify `(a + b + c) (a ^(2) +b ^(2) + c ^(2) - ab - b c - ca) = a ^(3) + b ^(2) + c ^(2) - 3 abc`

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NAND LAL PUBLICATION-ALGEBRAIC EXPRESSIONS AND IDENTITIES -SAMPLE PAPER FOR PRACTICE
  1. State whether the following statements are true or false . In addit...

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  2. (5x + 2y) ( 5x - 2y) can be simplified using the identity. a. (x +b) ...

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  3. The number of like terms in the expression. -2 z ^(2) xy + 5 xz y ^(...

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  4. Area of the reactangle whose length is 3x ^(2) y ^(2) and breadth 2x ^...

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  5. The middle term of the expression (2a - 3b) ^(2) is

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  6. Construct the following polynomials A monomial with variable lmn

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  7. Construct the following polynomials A binomial with variable p and ...

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  8. Construct the following polynomials A trinomial with variable y

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  9. Construct the following polynomials Polynomial with four terms havi...

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  10. Solve the following identities and find the missing terms. 58 ^(2) -...

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  11. Solve the following identities and find the missing terms. (30 + 7) ...

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  12. Solve the following identities and find the missing terms. (6x - 5y)...

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  13. Solve the following identities and find the missing terms. (x + 7) ...

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  14. Find two monomials with positive integer coefficients whose product is...

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  15. Find two monomials with positive integer coefficients whose product is...

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  16. Evaluate 196 m ^(2) - 56 mn + 4n ^(2) . Using the identity, if m =1, n...

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  17. What should be the value of x, if 3p ^(2) - p -x = 0 for p =- 2

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  18. Subtract 8x ( x- y) from 3x ( x + y) - 6y ( x- y)

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  19. Verify (a + b + c) (a ^(2) +b ^(2) + c ^(2) - ab - b c - ca) = a ^(3) ...

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  20. Add x^(2) y ( y + z) + y ^(2) z ( y - z) and z ^(2) y ( y-z) - yz ( x ...

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