What is expand (2x^{3/2}+3)^2 ?

The solution to expand (2x^{3/2}+3)^2 is 4x^3+12x^{3/2}+9

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expand (2x^{3/2}+3)^2

expand

(2 x^{\frac{3}{2}} + 3)^{2}

4 x^{3} + 12 x^{\frac{3}{2}} + 9

Solution steps

(2 x^{\frac{3}{2}} + 3)^{2}

Apply Perfect Square Formula:

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

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

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

(2 x^{\frac{3}{2}})^{2} = 4 x^{3}

2 \cdot 2 x^{\frac{3}{2}} \cdot 3 = 12 x^{\frac{3}{2}}

3^{2} = 9

= 4 x^{3} + 12 x^{\frac{3}{2}} + 9

- 5 (\frac{1}{x} + 3)

(2 cos (x) - cos (2 x) \cdot 2)^{2}

(x - 411) (x + 411)

(tan (x) + sin (x) sin (y)) d x + cos (x) cos (y) d y

(5 - 15 - x)^{2}

What is expand (2x^{3/2}+3)^2 ?
The solution to expand (2x^{3/2}+3)^2 is 4x^3+12x^{3/2}+9