`(5x^3-4x^2+3x+18)b y(3-2x+x^2)`

(5x^(3)-4x^(2)+3x+18)by(3-2x+x^(2))

Multiply (2x^(3) - 5x^(2) - x + 7) by (3 - 2x + 4x^(2))

Divide: 3x^(3)+4x^(2)+5x+18 by x+214x^(2)-53x+45 by 7x-9-21+71x-31x^(2)-24x^(3)by3-8x

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

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

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)

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

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)

{:( "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)):}