化简 (4sqrt(x)+2)^2

解答

化简

(4 x + 2)^{2}

16 x + 16 x + 4

求解步骤

(4 x + 2)^{2}

使用完全平方公式:

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

(4 x + 2)^{2} = (4 x)^{2} + 2 \cdot 4 x \cdot 2 + 2^{2}

= (4 x)^{2} + 2 \cdot 4 x \cdot 2 + 2^{2}

(4 x)^{2} = 16 x

2 \cdot 4 x \cdot 2 = 16 x

2^{2} = 4

= 16 x + 16 x + 4

e x p an d (1 - x^{3}) (2 x + \frac{1}{x ^{2}})^{12}

\frac{d}{d t} ((x) (x^{2} + y^{2}))

e x p an d (x + 1) (x - 1)^{5}

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

e x p an d \frac{( 2 s ^{3} - s ^{2} )}{( 4 s ^{2} - 4 s + 5 ) ^{2}}