Question
Solve the following equations: $a(x - b) -b (x - a) = a^2 - b^2$

Answer

$a(x - b) -b (x - a) = a^2 - b^2$
On simplyfying we get:
$\Rightarrow ax - ab - bx + ab = a^2 - b^2$
$\Rightarrow (a - b)x = a^2 - b^2$
$\Rightarrow x = (a + b).$

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