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Factorize each of the following expressi...

Factorize each of the following expressions by splitting the middle term: `9(x-2y)^2-4(x-2y)-13`

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To factorize the expression \(9(x-2y)^2 - 4(x-2y) - 13\) by splitting the middle term, we can follow these steps: ### Step 1: Substitute the variable Let \(p = x - 2y\). Then, we can rewrite the expression as: \[ 9p^2 - 4p - 13 \] ...
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RD SHARMA-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Factorize : (i)(x+1)^3 (ii) (x+1)^3+(x-1)^3 (iii) 8(x+y)^3-27(x-y)^3

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  2. Factorize each of the following expressions : (i)a^6-b^6 (ii) a^6+b^6...

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  3. Factorize each of the following expressions by splitting the middle ...

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  4. What are the possible expression for the dimensions of a cuboid whose ...

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  5. If p=2-a , prove that a^3+6a p+p^3-8=0

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  6. Factorize the following expression : (2x-3y)^3+(...

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  7. Factorize : (a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3

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  8. Factorize : (x-2y)^3+(2y-3z)^3+(3z-x)^3

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  9. Simplify: ((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b)^3+(b-c)^3+(c-a)...

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  10. Find the value of x^3-8y^3-36 x y-216 , when x=2y+6.

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  11. Factorize the following expression : x^4+x^2+1

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  12. Factorize each of the following expressions: 2p(a-b)+3q(5a-5b)+4r(2a...

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  13. Prove that : (a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)=2(a^3+b^3+c^3-3a...

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  14. Factorize the following expression: 4a^2+12 a b+9b^2-8a-12 b

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  15. Factorisation by grouping the terms: (x^2+3x)^2-5(x^2+3x)-y(x^2+3x)+5y

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  16. Factorize each of the following expressions : 4a^2-9b^2-2a-3b

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  17. Factorize each of the following algebraic expressions : x^8 - y^8 a...

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  18. Factorize: (i) 8x^3+27 y^3+z^3-18 x y z, (ii) a^3-8b^3-64 c^3-24 a...

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  19. Factorize : 64 a^3+125 b^3+240 a^2b+300 a b^2 8/(27)x^3+1+4/3x^2+2x...

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  20. Examples based on the middle term concepts : (i) 4sqrt3 x^2 + 5x - 2sq...

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