展开 1/(4(sin^4(x)+cos^4(x)))

解答

展开

\frac{1}{4 ( sin ^{4} ( x ) + cos ^{4} ( x ) )}

\frac{1}{4 sin ^{4} ( x ) + 4 cos ^{4} ( x )}

求解步骤

\frac{1}{4 ( sin ^{4} ( x ) + cos ^{4} ( x ) )}

乘开

4 (sin^{4} (x) + cos^{4} (x)) : 4 sin^{4} (x) + 4 cos^{4} (x)

= \frac{1}{4 sin ^{4} ( x ) + 4 cos ^{4} ( x )}

e x p an d \frac{1}{x} \cdot x^{4}

e x p an d 3 (a x + b) e^{3 x}

e x p an d \frac{5 ( s + 0.25 )}{s ^{2} ( s + 2 ) ^{2}}

e x p an d \frac{( 1 )}{( x - 5 ) ^{4}}

s im pl i f y (1 + i \cdot 2)^{6}