展开 1/((3x^2+5)^4)

解答

展开

\frac{1}{( 3 x ^{2} + 5 ) ^{4}}

\frac{1}{81 x ^{8} + 540 x ^{6} + 1350 x ^{4} + 1500 x ^{2} + 625}

求解步骤

\frac{1}{( 3 x ^{2} + 5 ) ^{4}}

(3 x^{2} + 5)^{4} = 81 x^{8} + 540 x^{6} + 1350 x^{4} + 1500 x^{2} + 625

= \frac{1}{81 x ^{8} + 540 x ^{6} + 1350 x ^{4} + 1500 x ^{2} + 625}

e x p an d 0 (x + 3)^{2} - 2

e x p an d a (10, 5) b (3, 2) c (6, - 5)

e x p an d \frac{12 ( x - 3 )}{x - 9}

e x p an d 2 (2 t + 4 = \frac{3}{4}) (24 - 8 t)

e x p an d 3 x^{2 + 12 x + 32}