Solve:
`ax^2 + by^2 + bx^2 + ay^2`

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

Solve: ax - by = 1 bx + ay = 0

Solve: ax + by = a - b bx - ay = a + b

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

If the equation ax^2 +2hxy + by^2 = 0 and bx^2 - 2hxy + ay^2 =0 represent the same curve, then show that a+b=0 .

Find the value of x and y by solving given linear equations ax + by = a^2 ; bx + ay = b^2

The equation of the circle and its chord are respectively x^2 + y^2 = a^2 and x + y = a . The equation of circle with this chord as diameter is : (A) x^2 + y^2 + ax + ay + a^2 = 0 (B) x^2 + y^2 + 2ax + 2ay = 0 (C) x^2 + y^2 - ax - ay = 0 (D) ax^2 + ay^2 + x + y = 0

Solve the following linear equations: ax + by = c bx + ay = 1+c

Factoris the expression. 2ax ^(2) + 4 axy + 3bx ^(2) + 2 ay ^(2) + 6 bxy + 3 by ^(2)