[20.3ax-6ay-8by+4bx],[22.x^(3)-x^(2)+ax+x-a-1]

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)

ax+by=5 bx+ay=3

ax+by=1 bx+ay=2

ax+by=2; bx+ay=3

Given that x^(2)+x-6 is a factor of 2x^(4)+x^(3)-ax^(2)+bx+a+b-1, find the value of aandb.

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

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

If ax+by=6, bx-ay=2and x^(2)+y^(2)=4 then what is (a^(2)+b^(2)) ?

Prove that the circles x^(2)+y^(2)+2ax+ay-3a^(2)=0andx^(2)+y^(2)-8ax-6ay+7a^(2)=0 touch each other.