What is simplify-m^2*4r^3*12r^{-4}*5m ?

The solution to simplify-m^2*4r^3*12r^{-4}*5m is -(240m^3)/r

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simplify-m^24r^312r^{-4}*5m

simplify

- m^{2} \cdot 4 r^{3} \cdot 12 r^{- 4} \cdot 5 m

- \frac{240 m ^{3}}{r}

Solution steps

- m^{2} \cdot 4 r^{3} \cdot 12 r^{- 4} \cdot 5 m

Multiply the numbers:

4 \cdot 12 \cdot 5 = 240

= - m^{2} \cdot 240 r^{3} r^{- 4} m

Simplify

m^{2} m : m^{3}

= - m^{3} \cdot 240 r^{3} r^{- 4}

Simplify

r^{3} r^{- 4} : \frac{1}{r}

= - m^{3} \cdot 240 \cdot \frac{1}{r}

Simplify

- m^{3} \cdot 240 \cdot \frac{1}{r} : - \frac{240 m ^{3}}{r}

= - \frac{240 m ^{3}}{r}

\frac{( 25 x ^{4} + 30 x ^{2} y + 9 y ^{2} )}{5 x ^{2} + 3 y}

24 a^{2} x y^{2} - 36 x^{2} y^{4}

x^{3 - 8}

- 12 + 6 x = 6 + 5 (x - 2)

2 x + 3 = x + 7

What is simplify-m^2*4r^3*12r^{-4}*5m ?
The solution to simplify-m^2*4r^3*12r^{-4}*5m is -(240m^3)/r