化简 (sqrt(x^3+89)+sqrt(x^3+9))^2

解答

化简

(x^{3} + 89 + x^{3} + 9)^{2}

2 x^{3} + 2 x^{3} + 89 x^{3} + 9 + 98

求解步骤

(x^{3} + 89 + x^{3} + 9)^{2}

使用完全平方公式:

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

(x^{3} + 89 + x^{3} + 9)^{2} = (x^{3} + 89)^{2} + 2 x^{3} + 89 x^{3} + 9 + (x^{3} + 9)^{2}

= (x^{3} + 89)^{2} + 2 x^{3} + 89 x^{3} + 9 + (x^{3} + 9)^{2}

化简

(x^{3} + 89)^{2} + 2 x^{3} + 89 x^{3} + 9 + (x^{3} + 9)^{2} : 2 x^{3} + 2 x^{3} + 89 x^{3} + 9 + 98

= 2 x^{3} + 2 x^{3} + 89 x^{3} + 9 + 98

e x p an d \frac{( 2 x ^{2} + x + 8 )}{( x ^{2} + 4 ) ^{2}}

e x p an d \frac{y ^{'} ( z ) + y ( z ) ( 1 + r ( z ) )}{( 1 + z ) ( 1 + r ( z ) )}

e x p an d (5 + 93) (- 5 - 10)

s im pl i f y (x + 2) (x - 1)

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