From (a)`1-5y^2,` take away `y^3+7y^2+y+1` (b)`x^3-5x^2+3x+1,` take away `6x^2-4x^3+5+3x`

From (a) p^3-4+3p^2,\ take away 5p^2-3p^3+p-6 (b) 7+x-x^2, take away 9+x+3x^2+7x^3

Take away : (y^3)/3+7/3y^2+1/2y+1/2 from1/3-5/3y^2

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

Subtract: (i) 5a + 7b - 2c from 3a - 7b + 4c (ii) a - 2b - 3c from -2a + 5b - 4c (iii) 5x^(2) - 3xy + y^(2) from 7x^(2) - 2xy - 4y^(2) (iv) 6x^(3) - 7x^(2) + 5x - 3 from 4 - 5x + 6x^(2) - 8x^(3) (v) x^(3) + 2x^(2) y + 6xy^(2) - y^(3) from y^(3) - 3xy^(2) - 4x^(2) (vi) -11 x^(2) y^(2) + 7xy - 6 from 9x^(2) y^(2) - 6xy + 9 (vii) -2a + b + 6d from 5a - 2b - 3c

Add: (i) 3a - 2b + 5c, 2a + 5b - 7c, -a - b + c (ii) 8a - 6ab + 5b, -6a - ab - 8b, -4a + 2ab + 3b (iii) 2x^(3) - 3x^(2) + 7x - 8, -5x^(3) + 2x^(2) - 4x + 1, 3 - 6x + 5x^(2) - x^(3) (iv) 2x^(2) - 8xy + 7y^(2) - 8xy^(2), 2xy^(2) + 6xy - y^(2) + 3x^(2), 4y^(2) - xy - x^(2) + xy^(2) (v) x^(3) + y^(3) - z^(3) + 3xyz, - x^(3) + y^(3) + z^(3) - 6xyz, - x^(3) - y^(3) - z^(3) - 8xyz (vi) 2 + x - x^(2) + 6x^(3). -6 - 2x + 4x^(2) - 3x^(3). 2 + x^(2). 3 - x^(3) + 4x - 2x^(2)

Add the following expressions: (i) x^3-2x^2y+3x y^2-y^3,\ 2x^3-5x y^2+3x^2y-4y^3 (ii) a^2-2a^3b+3a b^3+4a^2b^2+3b^4,-2a^4-5a b^3+7a^3b-6a^2b^2+b^4

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

{:("Column" A ,, "Column" B), (225x^(2) - 625 y^(2) = ,, (a) 25(x-2) (x-2)), (x^(2) - x - y - y^(2) = ,, (b) 25(3x- 5y) (3x + 5y)), (x^(2) - x - y^(2) + y = ,, (x + y) (x - y- 1)), (25x^(2) - 100 x + 100 = ,, (d) (x - y) (x + y -1)), (,,(e) (x + y) (x + y - 1)):}

In the algebraic expression 5x^2y+7x y^2-3x y-4y x^2, we have 5x^2y and -4y x^2 as like terms, whereas 7x y^2 and -3x y are unlike terms.

2x-y=1 ; 6x+3y=5