What is (sqrt(x^3+89)-sqrt(x^3+9))^2 ?

The solution to (sqrt(x^3+89)-sqrt(x^3+9))^2 is 2x^3-2sqrt(x^3+89)sqrt(x^3+9)+98

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simplify (sqrt(x^3+89)-sqrt(x^3+9))^2

simplify

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

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

Solution steps

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

Apply Perfect Square Formula:

(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}

Simplify

(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

cos (\frac{( 3 n - 2 ) π}{3})

2 (x + 1) x + 1

x (x - 3 = 10)

\frac{7 x - 1}{x ( x + 1 )}

\frac{( 2 e - 1 ) ^{2}}{4}

What is (sqrt(x^3+89)-sqrt(x^3+9))^2 ?
The solution to (sqrt(x^3+89)-sqrt(x^3+9))^2 is 2x^3-2sqrt(x^3+89)sqrt(x^3+9)+98