化简 (3+sqrt(x))^2

解答

化简

(3 + x)^{2}

9 + 6 x + x

求解步骤

(3 + x)^{2}

使用完全平方公式:

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

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

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

3^{2} = 9

2 \cdot 3 x = 6 x

(x)^{2} = x

= 9 + 6 x + x

s im pl i f y (1 + i)^{13}

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

s im pl i f y (z + i)^{3}

e x p an d (1 + sin (t))^{2}

e x p an d sin (x) (1 - cos (x))