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

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

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simplify (a^2-b^2)/(b^2+ab)+(a^2-b^2)/(a^2-ab)

simplify

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

\frac{a ^{2} + b ^{2}}{ab}

Solution steps

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

Cancel

\frac{a ^{2} - b ^{2}}{b ^{2} + ab} : \frac{a - b}{b}

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

Cancel

\frac{a ^{2} - b ^{2}}{a ^{2} - ab} : \frac{a + b}{a}

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

Simplify

\frac{a - b}{b} + \frac{a + b}{a} : \frac{( a - b ) a + ( a + b ) b}{ab}

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

Simplify

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

= \frac{a ^{2} + b ^{2}}{ab}

\frac{sin ^{2} ( x )}{sin ^{2} ( x )}

\frac{60}{150}

\frac{2}{x - 3} - \frac{3}{x + 1}

(3 + \frac{1}{2} i) (4 - \frac{5}{3} i)

1 \cdot 1 0^{- 10}

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