[" 23."a^(2)+a^(2)+y^(2)-xy(a^(2)+b^(2))],[" 25."ab(x^(2)+y^(2))]

ab(x^(2)+y^(2))-xy(a^(2)+b^(2))

Subtract: (i) -8xy from 7xy (ii) x^(2) from -3x^(2) (iii) (x - y) from (4y - 5x) (iv) (a^(2) + b^(2) - 2ab) from (a^(2) + b^(2) + 2ab) (v) (x^(2) - y^(2)) from (2x^(2) - 3y^(2) + 6xy) (vi) (x -y + 3z) from (2z - x - 3y)

If (x+1)/(x-1)=(a)/(b) and (1-y)/(1+y)=(b)/(a), then the value of (x-y)/(1+xy) is (2ab)/(a^(2)-b^(2)) (b) (a^(2)-b^(2))/(2ab) (c) (a^(2)+b^(2))/(2ab) (d) (a^(2)-b^(2)backslash)/(ab)

Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2) a ^(2) x ^(2) + 2 ab xy + b ^(2) y ^(2)

Factorise : (vi) ab (x^(2) + y^(2) ) - xy (a^(2) + b^(2) )

Factorise the following : (i) 9a^(2)-b^(2) " " (ii) 81x^(3)-x " " (iii) x^(3)-49xy^(2) " " (iv) a^(2)-(b-c)^(2) (v) (x-y)^(3)-x+y " " (vi)x^(2)y^(2)+1-x^(2)-y^(2) " " (vii) 25(a+b)^(2)-49(a-b)^(2) " " (viii) xy^(5)-x^(5)y (ix) x^(8)-256 " " (x) x^(8)-81y^(8)

Factorise the following : (i) 9a^(2)-b^(2) " " (ii) 81x^(3)-x " " (iii) x^(3)-49xy^(2) " " (iv) a^(2)-(b-c)^(2) (v) (x-y)^(3)-x+y " " (vi)x^(2)y^(2)+1-x^(2)-y^(2) " " (vii) 25(a+b)^(2)-49(a-b)^(2) " " (viii) xy^(5)-x^(5)y (ix) x^(8)-256 " " (x) x^(8)-81y^(8)

Factorise: ab (x ^(2) + y ^(2)) - xy (a ^(2) + b ^(2))

Add 2x^(2)+5xy-2y^(2), 3x^(2)-2xy+5y^(2) and 2x^(2)+8xy+3y^(2)

Fractorise: ab (x ^(2) + y^(2) ) + xy (a^(2) + b ^(2)).