Question

1/a+b+x=1/a+1/b+1/x​

Answer 1

$\frac{1}{a + b + x} = \frac{1}{a} + \frac{1}{b} + \frac{1}{x} \\ \\ \frac{1}{a + b + x} = \frac{bx + ax + ab}{abx} \\ \\ \frac{abx}{a + b + x} = bx + ax + ab \\ \\ abx = {a}^{2}b + {a}^{2}x + {ab}^{2} +3abx+ {ax}^{2} + {b}^{2}x + {bx}^{2} \\ \\ { \boxed{ \tiny{ \red{a = \frac{{a}^{2}b + {a}^{2}x + {ab}^{2} +3abx+ {ax}^{2} + {b}^{2}x + {bx}^{2} }{bx} }}}} \\ \\ { \boxed{ \tiny{ \red{b = \frac{{a}^{2}b + {a}^{2}x + {ab}^{2} +3abx+ {ax}^{2} + {b}^{2}x + {bx}^{2} }{ax} }}}} \\ \\ { \boxed{ \tiny{ \red{a = \frac{{a}^{2}b + {a}^{2}x + {ab}^{2} +3abx+ {ax}^{2} + {b}^{2}x + {bx}^{2} }{bx} }}}} \\ \\ { \boxed{ \tiny{ \red{x = \frac{{a}^{2}b + {a}^{2}x + {ab}^{2} +3abx+ {ax}^{2} + {b}^{2}x + {bx}^{2} }{ax} }}}}$