What is ((a^2))/((sqrt(a^2+b^2)+b)) ?

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

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simplify ((a^2))/((sqrt(a^2+b^2)+b))

simplify

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

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

Solution steps

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

Multiply by the conjugate

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

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

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

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

Cancel the common factor:

a^{2}

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

(5 x - 1)^{4}

(a) \frac{3}{7} + \frac{4}{5} + \frac{57}{2}

- 2 f (x) + 3

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

216 n^{3} - 1331 m^{3}

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