展开 ((21x^2-153x+369))/((3x-5)^2(x+14))

解答

展开

\frac{( 21 x ^{2} - 153 x + 369 )}{( 3 x - 5 ) ^{2} ( x + 14 )}

\frac{21 x ^{2} - 153 x + 369}{9 x ^{3} + 96 x ^{2} - 395 x + 350}

求解步骤

\frac{21 x ^{2} - 153 x + 369}{( 3 x - 5 ) ^{2} ( x + 14 )}

(3 x - 5)^{2} = 9 x^{2} - 30 x + 25

= \frac{21 x ^{2} - 153 x + 369}{( 9 x ^{2} - 30 x + 25 ) ( x + 14 )}

乘开

(9 x^{2} - 30 x + 25) (x + 14) : 9 x^{3} + 96 x^{2} - 395 x + 350

= \frac{21 x ^{2} - 153 x + 369}{9 x ^{3} + 96 x ^{2} - 395 x + 350}

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