展开 (e^{7t}+3)^2

解答

展开

(e^{7 t} + 3)^{2}

e^{14 t} + 6 e^{7 t} + 9

求解步骤

(e^{7 t} + 3)^{2}

使用完全平方公式:

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

a = e^{7 t}, b = 3

= (e^{7 t})^{2} + 2 e^{7 t} \cdot 3 + 3^{2}

化简

(e^{7 t})^{2} + 2 e^{7 t} \cdot 3 + 3^{2} : e^{14 t} + 6 e^{7 t} + 9

= e^{14 t} + 6 e^{7 t} + 9

e x p an d x (1 - ln (x))

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

e x p an d 2 (e^{x^{2}} + 2 e^{x^{2}} x^{2}) + e^{x^{2}} \cdot 2 x

e x p an d \frac{8 s ^{2} - s + 1}{s ( s - 1 ) ( s + 4 ) ( s - 4 )}

e x p an d \frac{2 ( x + y ^{4} ) ^{5}}{y ^{20}}