What is expand (4x^3-3/(x^2))^2 ?

The solution to expand (4x^3-3/(x^2))^2 is (16x^{10}-24x^5+9)/(x^4)

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expand (4x^3-3/(x^2))^2

expand

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

\frac{16 x ^{10} - 24 x ^{5} + 9}{x ^{4}}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(4 x^{3})^{2} - 2 \cdot 4 x^{3} \frac{3}{x ^{2}} + (\frac{3}{x ^{2}})^{2} : \frac{16 x ^{10} - 24 x ^{5} + 9}{x ^{4}}

= \frac{16 x ^{10} - 24 x ^{5} + 9}{x ^{4}}

, (3 x^{2} + 4 x + 3)

\frac{1}{54} (1 + 3 e^{- 2 x})^{9} + C

c (322 - \frac{64 2}{3})

(1 + \frac{h}{R})^{2}

(x^{\frac{7}{2}} - x^{\frac{5}{2}}) \cdot x^{\frac{3}{2}}

What is expand (4x^3-3/(x^2))^2 ?
The solution to expand (4x^3-3/(x^2))^2 is (16x^{10}-24x^5+9)/(x^4)