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Factorise : a^(3) - ab^(2) + a^(2)b - b^...

Factorise : `a^(3) - ab^(2) + a^(2)b - b^(3)`

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The correct Answer is:
`(a-b)(a+b)^(2)`
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Factorise a^(3) - 3b^(2) + 3a^(2) - ab^(2) The following steps are involved in solving the above problem . Arrange them in sequential order . (A) (a + 3) (a^(2) - b^(2)) (B) Rearrange the terms as a^(3) + 3a^(2) - 3b^(2) - ab^(2) (C) a^(2) (a + 3) - b^(2) ( 3 + a) (D) (a + 3) (a + b) ( a-b)

Factorise: 18a^(3) -27a^(2)b

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PEARSON IIT JEE FOUNDATION-EXPRESSIONS AND SPECIAL PRODUCTS -TEST YOUR CONCEPTS (SHORT ANSWER TYPE QUESTIONS)
  1. By using an appropriate identity , find the following : (10(1)/(4))^...

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  2. By using an appropriate identity , find the following : (95)^(2)

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  3. By using an appropriate identity , find the following : (28)^(2)

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  4. By using an appropriate identity , find the following : (9(1)/(2))^(...

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  5. By using an appropriate identity , find the following : 89 xx 111

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  6. By using an appropriate identity, find the following: 37 xx 43

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  7. Find the HCF of the following : 26x^(2)y^(2)z^(2) and 39x^(3)y^(2)z

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  8. Find the HCF of the following : 50 ab and 60 bc

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  9. Factorise the following : x^(2)(x + y) + y^(2) (x + y)

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  10. Factorise the following : (3x + 2y) (a -b) + (3x - 2y) ( a -b)

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  11. Find the value of 994 xx 1006 by using an appropriate identity .

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  12. Check whether the following are perfect squares or not : (a) 64x^(2)...

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  13. Check whether the following are perfect squares or not : (a) 64x^(2)...

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  14. Divide x^(2) + 6x + 8 by x + 2 and find the quotient .

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  15. Factorise : a^(3) - ab^(2) + a^(2)b - b^(3)

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  16. Find the HCF of 24abc^(3) , 36 ab^(3)c, and 48 a^(3)bc.

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  17. Factorise : x^(4) + y^(4) - 2x^(2)y^(2)

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  18. If y + (1)/(2y) = 4 , then find y^(2) + (1)/(4y^(2))

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  19. Simplify : sqrt((169p^(3)q^(3))/(225 pq^(5)))

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  20. Simplify: (9x^(2) - 4y^(2))/(6x + 4y)

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