`2 (ax+by)^(2)-(bx+ay)^(2)`

(ax+by)^(2)-(ay+bx)^(2)

If x=a sin theta+b cos theta,y=a cos theta-b sin theta then show that (ax+by)^(2)+(bx-ay)^(2)=(a^(2)+b^(2))^(2)

Ifx=a sin theta+b cos theta,y=a cos theta-b sin theta then show that (ax+by)^(2)+(bx-ay)^(2)=(a^(2)+b^(2))^(2)

Factorise the following expressions : (i) ax-ay+bx-by " " (ii) x^(2)-x-ax+a " " (iii) x^(4)+x^(3)+x^(2)+x (iv) 16(a+b)^(2)-4a-4b " " (v) x^(2)+(1)/(x^(2))+2-3x-(3)/(x) " " (vi) x^(2)-((a)/(b)+(b)/(a))x+1 (vii) x^(2)+(a-(1)/(a))x-1 " " (viii)ab(x^(2)+y^(2)+xy(a^(2)+b^(2)) " "(ix) (ax+by)^(2)+(bx-ay)^(2)

Fractorise: (ax + by) ^(2) + (bx - ay)^(2)

Factorise : (v) (ax + by )^(2) + (bx - ay)^(2)

Factorize each of the following expressions: x^(2)-2ax-2ba+bx(2)x^(3)-2x^(2)y+3xy^(2)-6y^(3)abx^(2)+(ay-b)x-y(4)(ac+by)^(2)+(bx-ay)^(2)

The area of the triangle formed by pair of line (ax+by)^2-3(bx-ay)^2=0 " and the line " ax+by+c=0 is

Factorise: ax ^(2) + by^(2) + bx^(2) + ay^(2)

The slope of angular bisector of line (ax+by)^2=c(bx-ay)^2,(cgto) are