Simplify: `(3y^2+5y-4)-(8y-y^2-4)`

Simplify: 4y(3y + 4)

Simplify : 5y(3y + 9)

Simplify : (x-2y)(x^2-2y)+(y+2x)(x^2+4y)-(3x-2y)(x^2-4y) .

Simplify the following:(x-2y) (y-3x)+(x+y) (x-3y)- (y-3x)(4x-5y).

Simplify the following : (x-y)(2y-x)+(x+y)(x-y)-(y-3x)(2x-3y)

Find the centre and radius of each of the circles whose equations are given below: (i) 3x^(2)+3y^(2)-5x-6y+4=0 (ii) 3x^(2)+3y^(2)+6x-12-1=0 (iii) x^(2)+y^(2)+6x+8y-96=0 (iv) 2x^(2)+2y^(2)-4x+6y-3=0 (v) 2x^(2)+2y^(2)-3x+2y-1=0 (vi) x^(2)+y^(2)+2x-4y-4=0 (vii) x^(2)+y^(2)-4x-8y-41=0

Match the following {:("Point, parabola"," ""Polar"),("I".(3,-2)y^(2)=x," "(a)5x-4y+24=0),("II".(2,1)x^(2)=y," "(b)2x-3y-4=0),("III".(-2,3)y^(2)=4x," "(c)4x-y-1=0),("IV".(5,-6)x^(2)=8y," "(c)x+4y+3=0):}

Find the equation of the radical axis of the following circles x^(2)+y^(2)-3x-4y+5=0,3(x^(2)+y^(2))-7x+8y-11=0