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)

Find each of the following products: (i) (4a + 5b) xx (5a - 6b) (ii) (6x^(2) - x + 8) xx (x^(2) -3)

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

a=4x^3-8^2, b=7x^3-5x+3, c=3x^3+x-11 then find 2a-3b+4c

Factorize following expressions (i) x^(3)-6x^2+11x-6 " (ii)" 2x^3+9x^2+10x+3 (iii) 2x^3-9x^2+13x-6" (iv)" x^6-7x^2-6

Add: (i) x y^2+4x^2y-7x^2y-3x y^2+3\ a n d\ x^(2y)+x y^2 (ii) 5x^2+7y-6z^2,\ 4y+3x^2,9x^2+2z^2-9y\ a n d\ 2y-2x^2

Add: 2x^(3) - 9x^(2) + 8, 3x^(2) - 6x - 5, 7x^(3) - 10x + 1 and 3 + 2x - 5x^(2) - 4x^(3)

Add 7x^(2) -8x + 5, 3x^(2) -8x +5 and -6x^(2) + 15x - 5

Add: 5x^(2) + 3x - 8, 4x + 7 - 2x^(2) and 6 - 5x + 4x^(2)

List of the like terms in the following expression. (i) 4x^(4),-7x^(3),8x^(2),12x^(3),-9x^(4),-5x,4x^(3),12x^(2) (ii) 5xy,-3x^(2)y,2xy^(3),-2x^(2)y^(2),5x^(2)y,-3xy,6x^(2)y^(2)