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Factoris the expression. a ^(3) x - x ...

Factoris the expression.
`a ^(3) x - x ^(4) + a ^(2) x ^(2) - ax ^(3)`

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If (x ^(2) + x - 2) is the HCF of the expressions (x - 1) (2x ^(2) + ax +2) and (x +2) (3x ^(2) + bx +1), then find the valued of a and b.

NCERT EXEMPLAR-ALGEBRAIC EXPRESSIONS, IDENTITIES AND FACTORISATION -EXERCISE
  1. Factoris the expression. a ^(3) + a ^(2) + a + 1

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  2. Factoris the expression. lx + my + mx + ly

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  3. Factoris the expression. a ^(3) x - x ^(4) + a ^(2) x ^(2) - ax ^(3)

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  4. Factoris the expression. 2x ^(2) - 2y + 4xy - x

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  5. Factoris the expression. y ^(2) + 8 zx - 2 xy - 4 yz

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  6. Factorise the expression. a x^(2) y - bxyz - ax ^(2) z + bx y ^(2)

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  7. Factorise the expression. a ^(2) b + a^(2) c + ab + ac + b ^(2) c + ...

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  8. Factoris the expression. 2ax ^(2) + 4 axy + 3bx ^(2) + 2 ay ^(2) + 6...

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  9. Factorise the expression using the identity a ^(2) + 2 ab + b ^(2) = (...

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  10. Factorise the expression using the identity a ^(2) + 2 ab + b ^(2) = (...

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  11. Factorise the expression using the identity a ^(2) + 2 ab + b ^(2) = (...

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  12. Factorise the expression using the identity a ^(2) + 2 ab + b ^(2) = (...

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  13. Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2...

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  14. Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2...

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  15. Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2...

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  16. Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2...

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  17. Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2...

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  18. Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2...

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  19. Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2...

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  20. Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2...

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