展开 (n^2(4^n))/((n+1)(n+2))

解答

展开

\frac{n ^{2} ( 4 ^{n} )}{( n + 1 ) ( n + 2 )}

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

求解步骤

\frac{n ^{2} ( 4 ^{n} )}{( n + 1 ) ( n + 2 )}

去除括号:

(a) = a

= \frac{n ^{2} \cdot 4 ^{n}}{( n + 1 ) ( n + 2 )}

乘开

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

= \frac{4 ^{n} n ^{2}}{n ^{2} + 3 n + 2}

e x p an d - 4 (= 2 p + 10)

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

s im pl i f y (1 - \frac{1}{( x + 28 ) ^{2}}) (1 - \frac{1}{( x + 29 ) ^{2}})

e x p an d 4 x^{2} (3 x^{3} + 1 - x)

e x p an d - 2 (π \cdot (x + 1)^{3}) + 37