展开 (sqrt((1+x^2)(1+y^2))-1)/(x^2+y^2)

解答

展开

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

\frac{1 + y ^{2} + x ^{2} + x ^{2} y ^{2} - 1}{x ^{2} + y ^{2}}

求解步骤

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

乘开

(1 + x^{2}) (1 + y^{2}) : 1 + y^{2} + x^{2} + x^{2} y^{2}

= \frac{x ^{2} + x ^{2} y ^{2} + y ^{2} + 1 - 1}{x ^{2} + y ^{2}}

e x p an d \frac{x ^{4} - 12 x}{( x ^{2} - 4 ) ^{2}}

e x p an d 18 sin^{9 x} (x) (ln (sin (x)) + x cot (x))

s im pl i f y (x + 7) (x - 7)

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