What is a/(a-b)+b/(a+b) ?

The solution to a/(a-b)+b/(a+b) is (a^2+2ab-b^2)/((a-b)(a+b))

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simplify a/(a-b)+b/(a+b)

simplify

\frac{a}{a - b} + \frac{b}{a + b}

\frac{a ^{2} + 2 ab - b ^{2}}{( a - b ) ( a + b )}

Solution steps

\frac{a}{a - b} + \frac{b}{a + b}

Least Common Multiplier of

a - b, a + b : (a - b) (a + b)

Adjust Fractions based on the LCM

= \frac{a ( a + b )}{( a - b ) ( a + b )} + \frac{b ( a - b )}{( a - b ) ( a + b )}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{a ( a + b ) + b ( a - b )}{( a - b ) ( a + b )}

Simplify

a (a + b) + b (a - b) : a^{2} + 2 ab - b^{2}

= \frac{a ^{2} + 2 ab - b ^{2}}{( a - b ) ( a + b )}

5 x + 34 + 2 x + 76 = 180

- x^{2} - 2 x + 580 = 356

x^{3} - 1 = 0

6 x + 27 > x^{2}

e^{0.3}

What is a/(a-b)+b/(a+b) ?
The solution to a/(a-b)+b/(a+b) is (a^2+2ab-b^2)/((a-b)(a+b))