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

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

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

simplify

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

\frac{a - b}{ba}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

a (a^{2} + ab) - b (b^{2} + ab) : a^{3} + a^{2} b - b^{3} - a b^{2}

= \frac{a ^{3} + a ^{2} b - b ^{3} - a b ^{2}}{( b ^{2} + ab ) ( a ^{2} + ab )}

Cancel

\frac{a ^{3} + a ^{2} b - b ^{3} - a b ^{2}}{( b ^{2} + ab ) ( a ^{2} + ab )} : \frac{a - b}{ba}

= \frac{a - b}{ba}

4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4

4 + \frac{1}{4} - \frac{1}{8} - (1 - (3 \frac{1}{2} + 1.6))

\frac{2 e ^{- x}}{e ^{x}}

5 0^{2} + 5 0^{2}

\frac{a ^{n}}{a ^{m}}

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