What is sqrt(4-x^2)-(x^2)/(sqrt(4-x^2)) ?

The solution to sqrt(4-x^2)-(x^2)/(sqrt(4-x^2)) is (4-2x^2)/(sqrt(4-x^2))

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simplify sqrt(4-x^2)-(x^2)/(sqrt(4-x^2))

simplify

4 - x^{2} - \frac{x ^{2}}{4 - x ^{2}}

\frac{4 - 2 x ^{2}}{4 - x ^{2}}

Solution steps

4 - x^{2} - \frac{x ^{2}}{4 - x ^{2}}

Apply the fraction rule:

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

= \frac{4 - x ^{2} 4 - x ^{2} - x ^{2}}{4 - x ^{2}}

Apply radical rule:

a a = a,

assuming

a \geq 0

4 - x^{2} 4 - x^{2} = 4 - x^{2}

= \frac{4 - x ^{2} - x ^{2}}{4 - x ^{2}}

Add similar elements:

- x^{2} - x^{2} = - 2 x^{2}

= \frac{4 - 2 x ^{2}}{4 - x ^{2}}

\frac{sin ( θ )}{cos ( θ )} + \frac{cos ( θ )}{1 + sin ( θ )}

(x + 1)^{10}

\frac{27}{3}

n^{3} - 27 y^{6}

(6 - 4 x + x^{2})^{2}

What is sqrt(4-x^2)-(x^2)/(sqrt(4-x^2)) ?
The solution to sqrt(4-x^2)-(x^2)/(sqrt(4-x^2)) is (4-2x^2)/(sqrt(4-x^2))