Question 68646
Addition of Rational Expression

1. Find the LCD = (a-b)(a+b)
{{{ 2/(a-b) + 1/(a+b) }}}

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2. You cannot add nor subtract rational expression with different denominator.Write an equivalent expression with the LCD.
{{{ (2/(a-b))((a-b)(a+b)/(a-b)(a+b)) + (1/(a+b))((a-b)(a+b)/(a-b)(a+b))}}}
<br>{{{2(a+b)/(a-b)(a+b) + (a-b)/(a-b)(a+b)}}}
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Combine like terms in the numerator and simplify
{{{(2a + 2b + a - b)/((a-b)(a+b))}}}
<br>{{{highlight ((3a + b)/(a^2 - b^2))}}}