Factorize: `x^2+x y+8x+8y` (ii) `15 x y-6x+10 y-4`

Factorize: 4x^2+12 x y+9y^2 (ii) x^4-10 x^2y^2+25 y^4 a^4-2a^2b^2+b^4

Factorize: x^3+8y^3+6x^2y+12 x y^2

Factorize: x^3+8y^3+6 x^2y+12x y^2

Resolve each of the following quadratic trinomials into factors: (i) 15 x^2-16 x y z-15 y^2z^2 (ii) (x-2y)^2-5(x-2y)+6 (iii) (2a-b)^2+2(2a-b)-8

Factorise : (ii) 7+10 (x-y) - 8 (x-y)^2

The equation of the circle which inscribes a suqre whose two diagonally opposite vertices are (4, 2) and (2, 6) respectively is : (A) x^2 + y^2 + 4x - 6y + 10 = 0 (B) x^2 + y^2 - 6x - 8y + 20 = 0 (C) x^2 + y^2 - 6x + 8y + 25 = 0 (D) x^2 + y^2 + 6x + 8y + 15 = 0

Equation of the circle concentric with the circle x^(2) + y^(2) + 8x + 10 y - 7 = 0 , and passing through the centre of the circle x^(2) + y^(2) - 4x - 6y = 0 ,is

For the ellipse 3x^(2) + 4y^(2) + 6x - 8y - 5 = 0 the eccentrically, is

Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are: (i) y=x ,\ \ y=2x and y+x=6 (ii) y=x ,\ \ 3y=x and x+y=8

Factorize: (i)9-a^6+2a^3b^3-b^6 (ii)x^(16)-y^(16)+x^8+y^8