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

Factorise `(2a + 3b)^(2) - (3a - 2b)^(2)` .

A

`(5a + b) (5a-b)`

B

`(a+5b) (a-5b)`

C

`(5a +b) (5b-a)`

D

`(5a + b) (5b+a)`

Text Solution

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The correct Answer is:
C
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PEARSON IIT JEE FOUNDATION-EXPRESSIONS AND SPECIAL PRODUCTS -CONCEPT APPLICATION (LEVEL 3)
  1. If x^(2) - y^(2) = 28 and x + y = 7 then (x - y)^(2) = "" .

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  2. Factorise a^(4) + a^(3) + a^(2) + a.

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

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  4. What is the remainder when (2x^(2) + 3x + 7) is divided by (x + 2) ?

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  5. What is the quotient when (x^(3) + 8) is divided by (x^(2) - 2x + 4) ?

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  6. Which of the following is a perfect square ?

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  7. If x + y = 7 and xy = 2 , then x^(2) - y^(2) = "" (x gt y)

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  8. 32. If x+1/x=2 then x^100 -1/x^100 is

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  9. If x + (1)/(x) = 2 , then x^(100) - (1)/(x^(100)) = "".

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  10. For what value of p is 9 x^(2) + 18 xy + p a perfect square ?

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  11. If 2y + (1)/(2y) = 3 , then 16y^(4) + (1)/(16y^(4)) = "".

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  12. If 496 xx 492 = x^(2) - 4 (x gt 0) , then x = "".

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  13. Factorise x^(4) + x^(2) + 1 .

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  14. If x + (1)/(x) = a and x - (1)/(x) = b , then a^(2) - b^(2) = "" .

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  15. Factorise y^(2) + 2xy + 2 xz - z^(2) .

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  16. If A = (x - a) (x - b) (x -c) "……" ( x- z) , then the number of terms ...

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  17. (4x^(4) + 19x^(2) + 25) div (2x^(2) - x + 5) = "" .

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  18. If P = 8x^(4) + 6x^(3) - 15 x^(2) + 27 x - 20 and Q = 2x^(2) + 3x - 4 ...

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  19. Factorize: x^(3) + xy^(2) - x^(2) -y^(2) =

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  20. If y - (1)/(y) = 3 , then find y^(4) + (1)/(y^(4)) .

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