What is (8x^3-(12)/(x^3))(4x^2-6/(x^4)) ?

The solution to (8x^3-(12)/(x^3))(4x^2-6/(x^4)) is ((8x^6-12)(4x^6-6))/(x^7)

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simplify (8x^3-(12)/(x^3))(4x^2-6/(x^4))

simplify

(8 x^{3} - \frac{12}{x ^{3}}) (4 x^{2} - \frac{6}{x ^{4}})

\frac{( 8 x ^{6} - 12 ) ( 4 x ^{6} - 6 )}{x ^{7}}

Solution steps

(8 x^{3} - \frac{12}{x ^{3}}) (4 x^{2} - \frac{6}{x ^{4}})

Join

8 x^{3} - \frac{12}{x ^{3}} : \frac{8 x ^{6} - 12}{x ^{3}}

= \frac{8 x ^{6} - 12}{x ^{3}} (4 x^{2} - \frac{6}{x ^{4}})

Apply the fraction rule:

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

= \frac{( 8 x ^{6} - 12 ) ( 4 x ^{2} - \frac{6}{x ^{4}} )}{x ^{3}}

Simplify

(8 x^{6} - 12) (4 x^{2} - \frac{6}{x ^{4}}) : \frac{( 8 x ^{6} - 12 ) ( 4 x ^{6} - 6 )}{x ^{4}}

= \frac{\frac{( 8 x ^{6} - 12 ) ( 4 x ^{6} - 6 )}{x ^{4}}}{x ^{3}}

Apply the fraction rule:

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

= \frac{( 8 x ^{6} - 12 ) ( 4 x ^{6} - 6 )}{x ^{4} x ^{3}}

Simplify

x^{4} x^{3} : x^{7}

= \frac{( 8 x ^{6} - 12 ) ( 4 x ^{6} - 6 )}{x ^{7}}

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

x (\frac{3 x}{4} + \frac{10 - 3 x}{2})

3 (2 x^{3} + 1) (x^{4} + 2 x)^{\frac{1}{2}}

(X^{4} - 2 X^{2} + 2) l e f t (X^{2} - 2 X + 3)

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

What is (8x^3-(12)/(x^3))(4x^2-6/(x^4)) ?
The solution to (8x^3-(12)/(x^3))(4x^2-6/(x^4)) is ((8x^6-12)(4x^6-6))/(x^7)