化简 (sqrt(2x+3)+2)^2

解答

化简

(2 x + 3 + 2)^{2}

2 x + 4 2 x + 3 + 7

求解步骤

(2 x + 3 + 2)^{2}

使用完全平方公式:

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

(2 x + 3 + 2)^{2} = (2 x + 3)^{2} + 2 2 x + 3 \cdot 2 + 2^{2}

= (2 x + 3)^{2} + 2 2 x + 3 \cdot 2 + 2^{2}

化简

(2 x + 3)^{2} + 2 2 x + 3 \cdot 2 + 2^{2} : 2 x + 4 2 x + 3 + 7

= 2 x + 4 2 x + 3 + 7

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

e x p an d \frac{7}{( 4 + x ) ^{3}}

e x p an d e^{2 t} t^{\frac{1}{5}} + t u (t - 4)

e x p an d cot (a) (sin (a) + tan (a))

e x p an d \frac{2 ( s ^{2} + 1 )}{s ^{2} ( s ^{2} + 5 )}