" 59."2(x+y)^(2)-9(x+y)-5

x"@"y=(x+y)^(2) x#y=(x-y)^(2) Find the value of (9#7)"@"(21#5):

Find the square root of the expression (4x^2)/(y^2)+(20x)/(y)+13-(30y)/(x)+(9y^2)/(x^2)- (2x)/(y)+5-(3y)/(x) .

Find the like terms in the following 9x^(2)y, 5x, 7y^(2), - 3x^(2), - 5x, 9xy, 11y^(2) .

Factorize :7(2x+5)+3(2x+5)(x+2)y+(x+2)x5a(2x+3y)-2b(2x+3y)8(5x+9y)^(2)+12(5x+9y)

Solve for x and y in the following question : 2/(x+2y)+1/(2x-y)+5/9=0, 9/(x+2y)+6/(2x-y)+4=0

{:("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)):}

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))