What is expand sqrt(a^2+(x+Δx)^2)-sqrt(a^2+x^2) ?

The solution to expand sqrt(a^2+(x+Δx)^2)-sqrt(a^2+x^2) is sqrt(a^2+x^2+2Δx^2+Δ^2x^2)-sqrt(a^2+x^2)

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expand sqrt(a^2+(x+Δx)^2)-sqrt(a^2+x^2)

expand

a^{2} + (x + Δ x)^{2} - a^{2} + x^{2}

a^{2} + x^{2} + 2Δ x^{2} + Δ^{2} x^{2} - a^{2} + x^{2}

Solution steps

a^{2} + (x + Δ x)^{2} - a^{2} + x^{2}

Expand

a^{2} + (x + Δ x)^{2} : a^{2} + x^{2} + 2Δ x^{2} + Δ^{2} x^{2}

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

y (y^{2} + 1) d x + x (y^{2} - 1) ln (x) d y

(x - 1)^{3} (\frac{1}{x} + x)^{6}

\frac{3}{( 6 + x ) ^{3}}

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

cos (2 x^{3} - 9 x) (6 x^{2} - 9)

What is expand sqrt(a^2+(x+Δx)^2)-sqrt(a^2+x^2) ?
The solution to expand sqrt(a^2+(x+Δx)^2)-sqrt(a^2+x^2) is sqrt(a^2+x^2+2Δx^2+Δ^2x^2)-sqrt(a^2+x^2)