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

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

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

expand

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

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

Solution steps

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

Expand

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

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

\frac{x !}{x ( x - 2 )}

- \frac{( x - 1 ) y}{x y - x}

d x (x tan (x) d x - y cos (x) d y)

\frac{1}{2} (e^{i x} i - i e^{- i x})

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

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