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