化简 (sqrt(x+4)+3)^2

解答

化简

(x + 4 + 3)^{2}

x + 6 x + 4 + 13

求解步骤

(x + 4 + 3)^{2}

使用完全平方公式:

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

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

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

化简

(x + 4)^{2} + 2 x + 4 \cdot 3 + 3^{2} : x + 6 x + 4 + 13

= x + 6 x + 4 + 13

s im pl i f y (3 x - 6) \cdot (3 x + 6)

s im pl i f y (x + 3 + 5) (x + 3 - 5)

e x p an d \frac{1}{4 ( sin ^{4} ( x ) + cos ^{4} ( x ) )}

e x p an d \frac{1}{x} \cdot x^{4}

e x p an d 3 (a x + b) e^{3 x}