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Multiply: 9x^2+25 y^2+15 x y-12 x+20 y+1...

Multiply: `9x^2+25 y^2+15 x y-12 x+20 y+16`by `3x-5y+4`

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`(3x-5y+4)(3x^2+(-5y)^2+4^2)-3x(-5y)-(-5y)4-4xx3x`
`a^3+b^3+c^3-3abc`
`3x^3+(-5y)^3+4^3-3xx(3x)xx(-5y)xx4`
`27x^3-125y^3+64+180xy`
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1 + 5x + 3y = 9 2x 3y = 12 X = (x, y) - 4

The point from which the tangents to the circle x^2 + y^2 - 4x - 6y - 16 = 0, 3x^2 + 3y^2 - 18x + 9y + 6 = 0 and x^2 + y^2 - 8x - 3y + 24 = 0 are equal in length is : (A) (2/3, 4/17) (B) (17/16, 4/15) (C) (17/16, 4/15) (D) (5/4, 2/3)

The equation of the circle passing through (1/2, -1) and having pair of straight lines x^2 - y^2 + 3x + y + 2 = 0 as its two diameters is : (A) 4x^2 + 4y^2 + 12x - 4y - 15 = 0 (B) 4x^2 + 4y^2 + 15x + 4y - 12 = 0 (C) 4x^2 + 4y^2 - 4x + 8y + 5 = 0 (D) none of these

RD SHARMA-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Multiply: x^2+4y^2+z^2+2x y+x z-2y z\ by x-2y-z

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  2. Multiply:x^2+4y^2+2x y-3x+6y+9 by x-2y+3 (x^2+4y^2+2x y-3x+6y+9)(x-2y+...

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  3. Multiply: 9x^2+25 y^2+15 x y-12 x+20 y+16by 3x-5y+4

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  4. Factorize: x^4 +x^2 +25=0.

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  5. Factorize: x^2-1-2a-a^2

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  6. If a+b+c=0, then write the value of a^3+b^3+c^3

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  7. If a^2+b^2+c^2=20\ \ a n d\ a+b+c=0, find a b+b c+c a

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  8. If a+b+c=9 and a b+b c+c a=40 , find a^2+b^2+c^2dot

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  9. If a^2+b^2+c^2=250 and a b+b c+c a=3, find a+b+c

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  10. Write the value of 25^3-75^3+50^3,If a+b+c=0

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  11. Write the value of 48^3-30^3-18^3

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  12. Write the value of (1/2)^3+(1/3)^3-\ (5/6)^3

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  13. Write the value of 30^3+20^3-50^3

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  14. The factors of a^2-1-2x-x^2 are (a)(a-x+1)(a-x-1) (b)(a+x-1)(a-x+1) (c...

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  15. The factors of x^4+x^2+25 are (a)(x^2+3x+5)(x^2-3x+5) (b)(x^2+3x+5)(x...

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  16. The factors of x^2+4y^2+4y-4x y-2x-8 are (a)(x-2y-4)(x-2y+2) (b) (x-y...

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  17. The factors of x^3-x^2y-x y^2+y^3 are (a(x+y)(x^2-x y+y^2) (b) (x+y...

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  18. The factors of x^3-1+y^3+3x y are (a) (x-1+y)(x^2+1+y^2+x+y-x y) (b)...

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  19. The factors of 8a^3+b^3-6a b+1 are (a) (2a+b-1)(4a^2+b^2+1-3a b-2a) ...

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  20. (x+y)^3−(x−y)^3 can be factorized as  (a) 2y(3x^2+y^2) (b) 2x(3x^2+y...

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