Simplify x−aa+x−bb=x−c2c

x−aa+x−bb=x−c2c⇒(x−a)(x−b)a(x−b)+b(x−a)=(x−c)2c⇒(ax−ab+xb−ab)(x−c)=2c(x2−ax−bx+ab)⇒[(a+b)x−2ab](x−c)=2cx2−2acx−2bcx+2abx.

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Simplify {a}{{x - a}} + {b}{{x - b}} = {{2c}}{{x - c}}

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Simplify $\frac{a}{x - a} + \frac{b}{x - b} = \frac{2 c}{x - c}$

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\frac{a}{x - a} + \frac{b}{x - b} = \frac{2 c}{x - c}

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\frac{a}{x - a} + \frac{b}{x - b} = \frac{2 c}{x - c}

\Rightarrow \frac{a ( x - b ) + b ( x - a )}{( x - a ) ( x - b )} = \frac{2 c}{( x - c )}

\Rightarrow (a x - ab + x b - ab) (x - c) = 2 c (x^{2} - a x - b x + ab)

\Rightarrow [(a + b) x - 2 ab] (x - c) = 2 c x^{2} - 2 a c x - 2 b c x + 2 ab x .

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Question Text	Simplify $\frac{a}{x - a} + \frac{b}{x - b} = \frac{2 c}{x - c}$
Answer Type	Text solution:1
Upvotes	150