展开 ((100-94cos(x))^2)/4

解答

展开

\frac{( 100 - 94 cos ( x ) ) ^{2}}{4}

2500 - 4700 cos (x) + 2209 cos^{2} (x)

求解步骤

\frac{( 100 - 94 cos ( x ) ) ^{2}}{4}

(100 - 94 cos (x))^{2} = 10000 - 18800 cos (x) + 8836 cos^{2} (x)

= \frac{10000 - 18800 cos ( x ) + 8836 cos ^{2} ( x )}{4}

分解

10000 - 18800 cos (x) + 8836 cos^{2} (x) : 4 (2500 - 4700 cos (x) + 2209 cos^{2} (x))

= \frac{4 ( 2500 - 4700 cos ( x ) + 2209 cos ^{2} ( x ) )}{4}

数字相除:

\frac{4}{4} = 1

= 2500 - 4700 cos (x) + 2209 cos^{2} (x)

e x p an d - \frac{6 x}{( x ^{2} + 9 ) ^{2}}

e x p an d \frac{2 - x}{( x + 4 ) ( x - 4 )}

e x p an d 6 (x + Δ x)^{2} - 8 (x + Δ x)

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

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