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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Cancel

\frac{a + b}{a ^{2} + ab} : \frac{1}{a}

= \frac{1}{a} - \frac{b - a}{ab + b ^{2}}

Simplify

\frac{1}{a} - \frac{b - a}{ab + b ^{2}} : \frac{b ^{2} + ab - ( b - a ) a}{a ( b ^{2} + ab )}

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

Simplify

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

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

8 u^{4} + u

(4 x + 3 y) (6 x - 5 y)

\frac{1}{x - 1} - \frac{1}{x}

1 \frac{4}{7} + 4 \frac{1}{2}

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

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