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

The solution to ((a^2+b^2))/(a+b)-(a+b)^2+2(a^2+ab) is (a^3-b^3+a^2+b^2+a^2b-ab^2)/(a+b)

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

simplify

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

\frac{a ^{3} - b ^{3} + a ^{2} + b ^{2} + a ^{2} b - a b ^{2}}{a + b}

Solution steps

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

Convert

(a + b)^{2}

to fraction

: \frac{( a + b ) ^{3}}{a + b}

Convert

2 (a^{2} + ab)

to fraction

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

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

Apply the fraction rule:

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

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

Simplify

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

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

lo g_{x + 1} (x^{2}) > 2

\frac{18}{4}

2 x^{2} + 2 x + 4

- 3 g = 42

328

What is ((a^2+b^2))/(a+b)-(a+b)^2+2(a^2+ab) ?
The solution to ((a^2+b^2))/(a+b)-(a+b)^2+2(a^2+ab) is (a^3-b^3+a^2+b^2+a^2b-ab^2)/(a+b)