What is 2a-b-a(a+b)^{-1}a+b(a+b)^{-1} ?

The solution to 2a-b-a(a+b)^{-1}a+b(a+b)^{-1} is 2a-b+(-a^2+b)/(a+b)

Popular >

simplify 2a-b-a(a+b)^{-1}a+b(a+b)^{-1}

simplify

2 a - b - a (a + b)^{- 1} a + b (a + b)^{- 1}

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

Solution steps

2 a - b - a (a + b)^{- 1} a + b (a + b)^{- 1}

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

(a + b)^{- 1} = \frac{1}{a + b}

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

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

b \frac{1}{a + b} = \frac{b}{a + b}

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

Join

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

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

x^{2} + (x + 1) 2

4 a^{2} - 16 b^{2}

n + 2 m^{2} + 1 + 2 m^{2} n

\frac{( x ^{n + 1} + x ^{n - 1} )}{( x ^{2} + 1 )}

- (a + b) 3 - 8 (a - b)^{3}

What is 2a-b-a(a+b)^{-1}a+b(a+b)^{-1} ?
The solution to 2a-b-a(a+b)^{-1}a+b(a+b)^{-1} is 2a-b+(-a^2+b)/(a+b)