`8x^(2)-72xy+12x`

Factorise the following . ( I ) 2a^(2) +9a+10 (ii) 5x^(2) -29xy -42y^(2) (iii) 9-18x+8x^(2) (iv) 6x^(2) +16xy +8y^(2) (v) 12x^(2) +36x^(2) y +27y^(2) x^(2) (vi) (a+b) ^(2)+9( a+b) +18

Add the algebraic expressions: 4xy^(2)-7x^(2)y,12x^(2)y-6xy^(2),-3x^(2)y+5xy^(2)

When x = (1)/(9) and y = (-3)/(4) , then the value of the expression 81x^(2) +16y^(2) -72xy is

Equation of the parabola whose focus is centre of the circle " x^(2)+y^(2)=4x+6y " and whose directrix is the line " x-y=0 " , is A) " x^(2)+y^(2)+2xy-8x-12y+26=0 " B ) " x^(2)+y^(2)-2xy-8x-12y-26=0 " C) " x^(2)+y^(2)+2xy+8x+12y+26=0 " D) " x^(2)+y^(2)-2xy-8x-12y+26=0 "

Equation of the parabola whose focus is centre of the circle " x^(2)+y^(2)=4x+6y " and whose directrix is the line " x-y=0 " is A) " x^(2)+y^(2)+2xy-8x-12y+26=0 B ) " x^(2)+y^(2)-2xy-8x-12y-26=0 C) " x^(2)+y^(2)+2xy+8x+12y+26=0 D) " x^(2)+y^(2)-2xy-8x-12y+26=0

If 4x^(2) + 12xy -8x+9y^(2) -12y = (ax+by) (ax+by-4) , then the value of a^(2) +b^(2) is

Simplift : (8x^(2)-12x^(3)+6x)/(2x)

The figure formed by the pairs of lines 12x^(2)+7xy-12y^(2)=0 and 12x^(2)+7xy-12y^(2)+10x+5y+2=0 is a