化简 (sqrt(x+10)-3)^2

解答

化简

(x + 10 - 3)^{2}

x - 6 x + 10 + 19

求解步骤

(x + 10 - 3)^{2}

使用完全平方公式:

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

(x + 10 - 3)^{2} = (x + 10)^{2} - 2 x + 10 \cdot 3 + 3^{2}

= (x + 10)^{2} - 2 x + 10 \cdot 3 + 3^{2}

化简

(x + 10)^{2} - 2 x + 10 \cdot 3 + 3^{2} : x - 6 x + 10 + 19

= x - 6 x + 10 + 19

e x p an d 2 (3 u - \frac{3}{7} v)^{2}

s im pl i f y (3 x - 2) (x^{\frac{2}{3}} + 2 3 x + 4)

e x p an d \frac{4 h ^{2}}{( 12 h ^{2} - 8 h + 1 ) ( 3 h + 1 )}

e x p an d lo g_{10} (3) (x^{2} - 1)

e x p an d \frac{e ^{- 7 x} - 2 x + 6}{( x - 3 ) ( x - 1 )}