[" (c) "(-x+y)(-x-y)],[" d."(6x-7)(6x+7)]

Factorize each of the following algebraic expressions: 6x(2x-y)7y(2x-y)2r(y-x)+s(x-y)7a(2x-3)+3b(2x-3)9a(6a-5b)-12a^(2)(6a-5b)

The HCF of 44 x^(5) y^(4) , 88 x^(6) y^(5) , and 66x^(7) y^(6) "_______" .

Evaluate : (vi) (1.6 x + 0.7y) (1.6 x - 0.7y)

If [(2x+y,4x),(5x-7,4x)]= [ (7,7y-13),(y ,x+6)] , then the value of x and y is :

Subtract: (i) 5a + 7b - 2c from 3a - 7b + 4c (ii) a - 2b - 3c from -2a + 5b - 4c (iii) 5x^(2) - 3xy + y^(2) from 7x^(2) - 2xy - 4y^(2) (iv) 6x^(3) - 7x^(2) + 5x - 3 from 4 - 5x + 6x^(2) - 8x^(3) (v) x^(3) + 2x^(2) y + 6xy^(2) - y^(3) from y^(3) - 3xy^(2) - 4x^(2) (vi) -11 x^(2) y^(2) + 7xy - 6 from 9x^(2) y^(2) - 6xy + 9 (vii) -2a + b + 6d from 5a - 2b - 3c

If [{:(x, 0), (0, y):}] + [{:(-y, 4),(7, x):}] = [{:(4, 4), (7, 6):}] then x = ____ and y=___.

If 2x^2y\ a n d\ 3x y^2 denote the length and breadth of a rectangle, then its area is (a) 6x y (b) 6x^2y^2 (c) 6x^3y^3 (d) x^3y^3

Find the value fo x:y, if (7x - 15y)/(4x + 6y) = (5)/(6).

Solve by cross-multiplication method. (i) 8x-3y=12,5x=2y +7 (ii) 6x+ 7y -11 =0, 5x+ 2y =13 (iii) (2)/(x)+(3)/(y) =5, (3)/(x) -(1)/(y) +9=0