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Divide: 9m^5+12 m^4-6m^2\ \ by\ \ 3m^2...

Divide: `9m^5+12 m^4-6m^2\ \ ` by`\ \ 3m^2` (2)`24 x^3y+20 x^2y^2-4x y\ ` by`\ \ 2x y`

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Let's solve the two division problems step by step. ### Problem 1: Divide \( 9m^5 + 12m^4 - 6m^2 \) by \( 3m^2 \) **Step 1:** Write the expression to be divided. \[ \frac{9m^5 + 12m^4 - 6m^2}{3m^2} \] ...
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Divide: (i) 6x^(5) + 18 x^(4) - 3x^(2) by 3x^(2) (ii) 20 x^(3) y + 12 x^(2) y^(2) - 10 xy by 2xy

Divide: (i) 5m^(2) - 30 m^(2) + 45m by 5m (ii) 8x^(2) y^(2) - 6xy + 10 x^(2) y^(3) by 2xy (iii) 9x^(2) y - 6xy + 12 xy^(2) by - 3xy (iv) 12x^(4) + 8x^(3) - 6x^(2) by -2x^(2)

2 x + 3y = 4, 4x + 6y = 12 .

3 x + 2y = 12 , 5x - 2y = 4 .

y-1=m_1(x-3) and y - 3 = m_2(x - 1) are two family of straight lines, at right angled to each other. The locus of their point of intersection is: (A) x^2 + y^2 - 2x - 6y + 10 = 0 (B) x^2 + y^2 - 4x - 4y +6 = 0 (C) x^2 + y^2 - 2x - 6y + 6 = 0 (D) x^2 + y^2 - 4x - by - 6 = 0

Divide 36x^(2)y^(5)+42xy^(3)-24x^(3)y^(2)-12y^(5) by -6y^(2) .

If (4x^2-3y^2):(2x^2+5y^2)=12:19 then x:y=

Radii of circles x^(2) + y^(2) = 1, x^(2) + y^(2) - 2x - 6y= 6 and x^(2) + y^(2) - 4x - 12y = 9 are in

2x+3y=5 4x-5y=6

RD SHARMA-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Divide: 6x^3y^2z^2\ \ by\ \ 3x^2y z (2) 15 m^2n^(3\ ) by\ 5m^2n^2 ...

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  2. Simplify: (16 m^3y^2)/(4m^2y) (2) (32 m^2n^3p^2)/(4m n p)

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  3. Divide: 9m^5+12 m^4-6m^2\ \ by\ \ 3m^2 (2)24 x^3y+20 x^2y^2-4x y\ ...

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  4. Divide: (i) 6x^4y z-3x y^3z+8x^2y z^2y z^4\ \ by\ \ 2x y z (ii) 2/3...

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  5. Divide: (i)x+2x^2+3x^4-x^5\ by 2x (ii)y^4-3y^3+1/2y^2\ by 3y

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  6. Divide: (i)-4a^3+4a^2+a\ \ by 2a (ii)-x^6+2x^4+4x^3+2x^2\ by sqrt(...

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  7. Divide: (i)5z^3-6z^2+7z\ \ by 2z (ii)sqrt(3)\ a^4+\ 2sqrt(3)\ a^3+3...

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  8. Divide : 6+x-4x^2+x^3\ by\ \ x-3.

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  9. Divide: the polynomial 2x^4+8x^3+7x^2+4x+3\ \ by\ \ x+3.

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  10. Divide: x^3-6x^2+11 x-6\ b y\ \ x^2-4x+3

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  11. Divide: 10 x^4+17 x^3-62 x^2+30 x-3\ b y\ 2x^2+7x-1

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  12. Using division show that 3y^2+5 is factor of 6y^5+15 y^4+16 y^3+4y^2+1...

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  13. Divide: 3y^5+6y^4+6y^3+7y^2+8y+9\ b y\ 3y^3+1 and verify that dividend...

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  14. What must be subtracted from 8x^4+14 x^3-2x^2+7x-8 so that the resulti...

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  15. Find the values of a and b so that x^4+x^3+8x^2+a x+b is divisible by ...

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  16. Divide: 5x^3-15 x^2+25x by 5x 4z^3+6z^2-z by -1/2z

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  17. Divide: 3x^3y^2+2x^2y+15xy by 3x y x^2+7x+12 by x+4

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  18. Divide: 3x^3+4x^2+5x+18\ b y\ x+2 & 14 x^2-53 x+45\ b y\ 7x-9

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  19. Divide: 3y^4-3y^3-4y^2-4y^2-4y-b y\ y^2-2y 2y^5+10 y^4+6y^3+y^2+5y...

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  20. Divide: m^3-14 m^2+37 m-26\ b y\ m^2-12 m+13 x^4+x^2+1\ b y\ x^2+x...

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