What is (3/(2x^3)-6y)(3/(2x^3)+6y) ?

The solution to (3/(2x^3)-6y)(3/(2x^3)+6y) is ((-12x^3y+3)(12x^3y+3))/(4x^6)

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simplify (3/(2x^3)-6y)(3/(2x^3)+6y)

simplify

(\frac{3}{2 x ^{3}} - 6 y) (\frac{3}{2 x ^{3}} + 6 y)

\frac{( - 12 x ^{3} y + 3 ) ( 12 x ^{3} y + 3 )}{4 x ^{6}}

Solution steps

(\frac{3}{2 x ^{3}} - 6 y) (\frac{3}{2 x ^{3}} + 6 y)

Join

\frac{3}{2 x ^{3}} - 6 y : \frac{- 12 x ^{3} y + 3}{2 x ^{3}}

= \frac{- 12 x ^{3} y + 3}{2 x ^{3}} (\frac{3}{2 x ^{3}} + 6 y)

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( - 12 x ^{3} y + 3 ) ( \frac{3}{2 x ^{3}} + 6 y )}{2 x ^{3}}

Simplify

(- 12 x^{3} y + 3) (\frac{3}{2 x ^{3}} + 6 y) : \frac{( - 12 x ^{3} y + 3 ) ( 12 y x ^{3} + 3 )}{2 x ^{3}}

= \frac{\frac{( - 12 x ^{3} y + 3 ) ( 12 y x ^{3} + 3 )}{2 x ^{3}}}{2 x ^{3}}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{( - 12 x ^{3} y + 3 ) ( 12 y x ^{3} + 3 )}{2 x ^{3} \cdot 2 x ^{3}}

Simplify

2 x^{3} \cdot 2 x^{3} : 4 x^{6}

= \frac{( - 12 x ^{3} y + 3 ) ( 12 y x ^{3} + 3 )}{4 x ^{6}}

= \frac{( - 12 x ^{3} y + 3 ) ( 12 x ^{3} y + 3 )}{4 x ^{6}}

, f (x - 6)

(x + \frac{1}{2}) x

\frac{d ^{2}}{d x ^{2}} ((y (x, C)) (C e^{- x} + C e^{2 x}))

\frac{( - 1 ) ^{n} n !}{6 ^{n} ( n + 2 )}

\frac{( - a ( n ) ^{3} + a ( n ) \cdot ( 1 + 6 n ) )}{6}

What is (3/(2x^3)-6y)(3/(2x^3)+6y) ?
The solution to (3/(2x^3)-6y)(3/(2x^3)+6y) is ((-12x^3y+3)(12x^3y+3))/(4x^6)