展开 (-2x^2-16x+4)/((2x^2+x+8)^2)

解答

展开

\frac{- 2 x ^{2} - 16 x + 4}{( 2 x ^{2} + x + 8 ) ^{2}}

\frac{- 2 x ^{2} - 16 x + 4}{4 x ^{4} + 4 x ^{3} + 33 x ^{2} + 16 x + 64}

求解步骤

\frac{- 2 x ^{2} - 16 x + 4}{( 2 x ^{2} + x + 8 ) ^{2}}

(2 x^{2} + x + 8)^{2} = 4 x^{4} + 4 x^{3} + 33 x^{2} + 16 x + 64

= \frac{- 2 x ^{2} - 16 x + 4}{4 x ^{4} + 4 x ^{3} + 33 x ^{2} + 16 x + 64}

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e x p an d \frac{( x - 1 ) ( x ^{3} - x ^{2} - 4 x - 4 )}{x - 3}

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e x p an d \frac{2 x ^{3} - x + 5}{2 ( x + 1 ) ( 2 x - 1 )}