展开 (3(3+h))/(4(h+4)^2)

解答

展开

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

\frac{9 + 3 h}{4 h ^{2} + 32 h + 64}

求解步骤

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

(h + 4)^{2} = h^{2} + 8 h + 16

= \frac{3 ( h + 3 )}{4 ( h ^{2} + 8 h + 16 )}

乘开

4 (h^{2} + 8 h + 16) : 4 h^{2} + 32 h + 64

= \frac{3 ( h + 3 )}{4 h ^{2} + 32 h + 64}

乘开

3 (3 + h) : 9 + 3 h

= \frac{9 + 3 h}{4 h ^{2} + 32 h + 64}

e x p an d π (e^{4} - 1)

e x p an d - \frac{4}{3} cos (2) (x - \frac{π}{2})

\frac{d}{d x} ((z) (x^{2} + y^{2} - z^{2}))

e x p an d \frac{x}{( x - a ) ( x - b )}

s im pl i f y (x - 3) \times (x + 3)