`(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)

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

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

Suppose a, b are real numbers such that ab ne 0 . Which of the following four figures represents the curve (y -ax - b)(bx^(2) + ay^(2) - ab) = 0 ?

Consider the expressions given below and find if the expressions are symmetric or not (a) ax + ay + b (b) ax^(2) + bxy + ay^(2)

Solve the following system of equations by method of cross-multiplication: ax+by=a^(2),quad bx+ay=b^(2)

If bx=ay then show that (x^(2)+y^(2))(a^(2)+b^(2))=(ax+by)^(2)

Solve the following system of equations bx + ay = 2ab and ax - by = a^(2) - b^(2) .