What is (5x^3+2sqrt(3))^2 ?

The solution to (5x^3+2sqrt(3))^2 is 25x^6+20sqrt(3)x^3+12

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simplify (5x^3+2sqrt(3))^2

simplify

(5 x^{3} + 23)^{2}

25 x^{6} + 203 x^{3} + 12

Solution steps

(5 x^{3} + 23)^{2}

Apply Perfect Square Formula:

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

(5 x^{3} + 23)^{2} = (5 x^{3})^{2} + 2 \cdot 5 x^{3} \cdot 23 + (23)^{2}

= (5 x^{3})^{2} + 2 \cdot 5 x^{3} \cdot 23 + (23)^{2}

(5 x^{3})^{2} = 25 x^{6}

2 \cdot 5 x^{3} \cdot 23 = 203 x^{3}

(23)^{2} = 12

= 25 x^{6} + 203 x^{3} + 12

(\frac{sin ( x )}{x} - cos (x))^{2}

(5, - 1, 2) l e f t (- 1, 2, - 2)

\frac{41 ( 1 + r a c ^{2} )}{20}

2 (x - \frac{1}{4})

(2 b - 3 e)^{3}

What is (5x^3+2sqrt(3))^2 ?
The solution to (5x^3+2sqrt(3))^2 is 25x^6+20sqrt(3)x^3+12