展开 ((b-x)(c-x))/((b-a)(c-a))

解答

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\frac{( b - x ) ( c - x )}{( b - a ) ( c - a )}

\frac{b c - b x - c x + x ^{2}}{b c - ba - c a + a ^{2}}

求解步骤

\frac{( b - x ) ( c - x )}{( b - a ) ( c - a )}

乘开

(b - a) (c - a) : b c - ba - c a + a^{2}

= \frac{( - x + b ) ( - x + c )}{b c - ba - c a + a ^{2}}

乘开

(b - x) (c - x) : b c - b x - c x + x^{2}

= \frac{b c - b x - c x + x ^{2}}{b c - ba - c a + a ^{2}}

e x p an d \frac{1}{( x - 6 ) ^{2}}

e x p an d ln (14 x)

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

e x p an d \frac{72 x ^{2} + 47 x + 12}{( 1 + 3 x ) ^{2} ( 4 - x )}

s im pl i f y 3 (2 - 3)