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

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

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

simplify

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

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

Solution steps

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

Multiply by the conjugate

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

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

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

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

(b) sin^{4} (x) cos (x)

z_{1} - z_{3} (2 + 3 i) - (\frac{1}{2 + i})

(z + 2)^{3}

(- 3 c^{3} \cdot w^{5})^{3}

6 a + 4 x

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