展开 (2x+4)/((x^2+x+1)^2)

解答

展开

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

\frac{2 x + 4}{x ^{4} + 2 x ^{3} + 3 x ^{2} + 2 x + 1}

求解步骤

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

(x^{2} + x + 1)^{2} = x^{4} + 2 x^{3} + 3 x^{2} + 2 x + 1

= \frac{2 x + 4}{x ^{4} + 2 x ^{3} + 3 x ^{2} + 2 x + 1}

e x p an d ((a + b F + c F^{2})^{2}) F^{2} \cdot (1 - d F - e F^{2})

e x p an d (tan (θ) + 1) (cos (θ) - 1)

s im pl i f y (x) (x + 1)

e x p an d 6 (3 x + 5 y = 131)

e x p an d sin (x) + cos (x) (x - 1)