(x^(2)+3x)^(2)-5(x^(2)+3x)-y(x^(2)+3x)+5y

(y)=2-3x-5x^(2)

If 7x - 15y = 4x + y , find the value of x: y . Hence, use componendo and dividendo to find the values of : (i) (9x + 5y)/(9x - 5y) (iI) (3x^(2) + 2y^(2))/(3x^(2) - 2y^(2))

Find each of the following products: (i) (4x + 5y) (4x - 5y) (ii) (3x^(2) + 2y^(2)) (3x^(2) - 2y^(2))

If (3x-5y)/(3x+5y) = 1/2 . Then find the value of (3x^(2)-5y^(2))/(3x^(2) + 5y^(2)) .

Find the following products and verify the result for x=-1,y=-2:(3x-5y)(x+y)(2)(x^(2)y-1)(3-2x^(2)y)((1)/(3)x-(y^(2))/(5))((1)/(3)x+(y^(2))/(5))

HCF and LCM of two polynomials are (x+y) and 3x^(5) + 5x^(4)y + 2x^(3)y^(2) - 3x^(2)y^(3) - 5xy^(4) - 2y^(5) , respectively. If one of the polynomials is (x^(2) - y^(2)) . Then, the other polynomial is

{:("Column" A ,, "Column" B), ((3x^(2) - 5)- (2x^(2) - 5 + y^(2)) ,, (a) x^(2) + xy + y^(2)) , (9x^(2) - 16y^(2) ,, (b) 2) , ((x^(3) - y^(3))/(x-y) ,, (c) (9x + 16y) (9x - 16y)) , ("The degree of " (x + 2) (x+3) ,, (d) x^(2) - y^(2)) , (,, (e) 1) , (,, (f) (3x + 4y) (3x - 4y)):}

Let real numbers x and y satisfy the equations x^(3)-3x^(2)+5x=1 and y^(3)-3y^(2)+5y=5 respectively then the value of x+y is equal to