Factorise the following polynomials : `(i) x^(3)+x^(2) " " (ii) a^(3)bc+ab^(3)c-abc^(3) " " (iii)ab(x+y)+bx(x+y)` `(iv) 32(x+y)^(2)+2(x+y) " " (v) x(x-y)-z(y-x) " " (vi) (1-x)-(x-1)x` `(vii) 7(x+y)^(3)+14(x+y)^(2)+28(x+y)`

Factorise the following : (i) 9a^(2)-b^(2) " " (ii) 81x^(3)-x " " (iii) x^(3)-49xy^(2) " " (iv) a^(2)-(b-c)^(2) (v) (x-y)^(3)-x+y " " (vi)x^(2)y^(2)+1-x^(2)-y^(2) " " (vii) 25(a+b)^(2)-49(a-b)^(2) " " (viii) xy^(5)-x^(5)y (ix) x^(8)-256 " " (x) x^(8)-81y^(8)

Factorise the following : (i) 9a^(2)-b^(2) " " (ii) 81x^(3)-x " " (iii) x^(3)-49xy^(2) " " (iv) a^(2)-(b-c)^(2) (v) (x-y)^(3)-x+y " " (vi)x^(2)y^(2)+1-x^(2)-y^(2) " " (vii) 25(a+b)^(2)-49(a-b)^(2) " " (viii) xy^(5)-x^(5)y (ix) x^(8)-256 " " (x) x^(8)-81y^(8)

Find the degree of each of the following polynomials : (i) 3x^(4)-x^(2)+8 " " (ii) y^(2)-5y+7 " " (iii) 3x+4 " " (iv) 3 (v) x-2x^(2)+5x^(7) " " (vi) 2y^(2)-5y^(6)+1 " "(vii) x^(3)-1 " " (viii) 3x+5x^(5)+1

Find the degree of each of the following polynomials : (i) 3x^(4)-x^(2)+8 " " (ii) y^(2)-5y+7 " " (iii) 3x+4 " " (iv) 3 (v) x-2x^(2)+5x^(7) " " (vi) 2y^(2)-5y^(6)+1 " "(vii) x^(3)-1 " " (viii) 3x+5x^(5)+1

Factorise (i) x ^(2) - 2x ^(2) - x +2 (ii) x ^(3) - 3x ^(2) - 9x -5 (iii) x ^(3) + 13 x ^(2) + 32 x + 20 (iv) y ^(3) + y ^(2) -y -1

Find the following products: (i) (x+2)(x+3) (ii) (x+7)(x-2) (iii) y-4)(y-3) (iv) (y-7)(y+3) (vi) (2x-3)(2x+5) (vii) (3x+4)(3x-5)

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))

Find the following products: (i) (z^2+2)(z^2-3) (ii) (3x-4y)(2x-4y) (iii) (3x^2-4x y)(3x^2-3x y) (iv) (x+1/5)(x+5)