Question

Solve the following equations: a(x - 2a) +b (x - 2b) = 4ab

Answer 1

a(x - 2a) +b (x - 2b) = 4ab
On simplifying, we get:
⇒ xa - 2a² + bx - 2b² = 4ab
⇒ On Collecting like terms, we get:
⇒ x(a + b) = 4ab + 2(a² + b²)

⇒ x = `(2("a"^2 + "b"^2 + 2"ab"))/("a" + "b")`

= `(2("a" + "b")^2)/("a" + "b")`

= 2(a + b).