展开 \sqrt[3]{(x+1)^2}-\sqrt[3]{(x-1)^2}

解答

展开

3 (x + 1)^{2} - 3 (x - 1)^{2}

3 x^{2} + 2 x + 1 - 3 x^{2} - 2 x + 1

求解步骤

3 (x + 1)^{2} - 3 (x - 1)^{2}

(x + 1)^{2} = x^{2} + 2 x + 1

= 3 x^{2} + 2 x + 1 - 3 (x - 1)^{2}

(x - 1)^{2} = x^{2} - 2 x + 1

= 3 x^{2} + 2 x + 1 - 3 x^{2} - 2 x + 1

e x p an d \frac{( s + 9 - j ) ( s + 9 + j )}{( s - 8 - j ^{3} ) ( s - 8 + j ^{3} )}

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

e x p an d \frac{5 i ^{9} ( 2 - 3 i )}{2 - 1}

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

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