展开 1/((2x+7)^9)

解答

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\frac{1}{( 2 x + 7 ) ^{9}}

\frac{1}{512 x ^{9} + 16128 x ^{8} + 225792 x ^{7} + 1843968 x ^{6} + 9680832 x ^{5} + 33882912 x ^{4} + 79060128 x ^{3} + 118590192 x ^{2} + 103766418 x + 40353607}

求解步骤

\frac{1}{( 2 x + 7 ) ^{9}}

(2 x + 7)^{9} = 512 x^{9} + 16128 x^{8} + 225792 x^{7} + 1843968 x^{6} + 9680832 x^{5} + 33882912 x^{4} + 79060128 x^{3} + 118590192 x^{2} + 103766418 x + 40353607

= \frac{1}{512 x ^{9} + 16128 x ^{8} + 225792 x ^{7} + 1843968 x ^{6} + 9680832 x ^{5} + 33882912 x ^{4} + 79060128 x ^{3} + 118590192 x ^{2} + 103766418 x + 40353607}

e x p an d (2 m L - k + t^{2})^{2}

e x p an d z + 0.016 k \cdot (z - 1) \cdot (1 - e^{- 0.5 \cdot T})

e x p an d (\frac{cos ( t )}{t} - sin (t) ln (t))^{2}

e x p an d \frac{7 x ^{3} + 9 x ^{2}}{( x ^{2} + 8 ) ^{2}}

e x p an d \frac{15}{( s + 10 ) ( s + 11 )}