展开 (11x+6)/((2x+3)^2(x+5))

解答

展开

\frac{11 x + 6}{( 2 x + 3 ) ^{2} ( x + 5 )}

\frac{11 x + 6}{4 x ^{3} + 32 x ^{2} + 69 x + 45}

求解步骤

\frac{11 x + 6}{( 2 x + 3 ) ^{2} ( x + 5 )}

(2 x + 3)^{2} = 4 x^{2} + 12 x + 9

= \frac{11 x + 6}{( 4 x ^{2} + 12 x + 9 ) ( x + 5 )}

乘开

(4 x^{2} + 12 x + 9) (x + 5) : 4 x^{3} + 32 x^{2} + 69 x + 45

= \frac{11 x + 6}{4 x ^{3} + 32 x ^{2} + 69 x + 45}

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