展开 (6-8.5sin(x))^2

解答

展开

(6 - 8.5 sin (x))^{2}

36 - 102 sin (x) + 72.25 sin^{2} (x)

求解步骤

(6 - 8.5 sin (x))^{2}

使用完全平方公式:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(6 - 8.5 sin (x))^{2} = 6^{2} - 2 \cdot 6 \cdot 8.5 sin (x) + (8.5 sin (x))^{2}

= 6^{2} - 2 \cdot 6 \cdot 8.5 sin (x) + (8.5 sin (x))^{2}

化简

6^{2} - 2 \cdot 6 \cdot 8.5 sin (x) + (8.5 sin (x))^{2} : 36 - 102 sin (x) + 72.25 sin^{2} (x)

= 36 - 102 sin (x) + 72.25 sin^{2} (x)

s im pl i f y y^{4} (\frac{2 x ^{2}}{y ^{2}} + 1)

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

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

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

e x p an d \frac{100 ( 0.02 x + 4 ) ^{3}}{x}