化简 ((x^2+4x+3))/((x^2+3x+2))

解答

化简

\frac{( x ^{2} + 4 x + 3 )}{( x ^{2} + 3 x + 2 )}

\frac{x + 3}{x + 2}

求解步骤

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

因式分解

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

= \frac{( x + 1 ) ( x + 3 )}{x ^{2} + 3 x + 2}

因式分解

x^{2} + 3 x + 2 : (x + 1) (x + 2)

= \frac{( x + 1 ) ( x + 3 )}{( x + 1 ) ( x + 2 )}

约分:

x + 1

= \frac{x + 3}{x + 2}

s im pl i f y f^{0} (x)

s im pl i f y \frac{1}{x + x}

s im pl i f y 1 (\frac{3}{2} + \frac{23}{2} \cdot 3 \cdot \frac{3}{2}) + (\frac{3}{2} + \frac{23}{2} \cdot a \cdot 1 \cdot \frac{3}{2})

f a c t or 64 + a^{12}

s im pl i f y (3 x + 1)^{3} + (2 x - 1)^{3} + (2 x + 3)^{2} + 8 x