(a) `3x-y+11` और `-y-11` के योग में से `3x-y-11` को घटाइए।
(b) `4+3x` और `5-4x+2x^(2)` के योग मे से `3x^(2)-5x` और `-x^(2)+2x+5` के योग को घटाइए।

{:( "Column" A ,, "Column" B) , ("If" a^(2) - b^(2) = 16 "and" a- b = 2 "," "then" a + b,, "(a)" 3x^(2) - x - 11), ("The degree of " (x-a) (x-b) (x - c) (x-d) ,, "(b)" 3x^(2) - x + 5), (4x^(2) + 20xy + 25y^(2) ,, (c) 8), ((5x^(2) + 7x -3)- (2x^(2) + 8x -8) ,, (d) 4), (,, (e) (4x + 5y) (x+ 5y)), (,,(f) (2x + 5y)^(2)):}

Add the following algebraic expressions : (i) 5x^(3)- 3x + 7 , 2x^(2) - 11 and 7x^(3) - 11x^(2) + 4x- 3

4x -5y-11z=12,. x-3y+z=1 2x + 3y-7z = 2

If (3x -4y) : (2x -3y) = (5x -6y) : (4x -5y) , find : x : y .

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

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

Identify the type of conic section for each of the equations 1. 2x^(2) -y^(2) = 7 2. 3x^(2) +3 y^(2) -4x + 3y + 10 =0 3. 3x^(2) + 2y^(2) = 14 4. x^(2) + y^(2) + x-y=0 5. 11x^(2) -25y^(2) -44x + 50y - 256 =0 6. y^(2) + 4x + 3y + 4=0

Find the like terms in the following 9x^(2)y, 5x, 7y^(2), - 3x^(2), - 5x, 9xy, 11y^(2) .

The HCF of x^4 -11x^2 +10, x^2 – 5x+4 and x^3 – 3x^2 + 3x-1 is