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^2+a-b^2-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)

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

Solution steps

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

Apply rule:

(a) = a

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

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

Cancel

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

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

- a^{2} + 2 a^{2} = a^{2}

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

Add similar elements:

- 2 ab + 2 ab = 0

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

- 6 (x - 6) = 3 (x + 0)

3 (x + 1) = 7 (x - 2) - 3

2^{(\frac{2}{3})}

3 (7 - v) + 3 v \geq 17

(- 3 x^{3})^{2}

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^2+a-b^2-b