What is expand-(2m)/5 (10m+5n-15p) ?

The solution to expand-(2m)/5 (10m+5n-15p) is -4m^2-2mn+6mp

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expand-(2m)/5 (10m+5n-15p)

expand

- \frac{2 m}{5} (10 m + 5 n - 15 p)

- 4 m^{2} - 2 mn + 6 m p

Solution steps

- \frac{2 m}{5} (10 m + 5 n - 15 p)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

- \frac{2 m}{5} (10 m + 5 n - 15 p) = - \frac{2 m}{5} \cdot 10 m - \frac{2 m}{5} \cdot 5 n - \frac{2 m}{5} (- 15 p)

= - \frac{2 m}{5} \cdot 10 m - \frac{2 m}{5} \cdot 5 n - \frac{2 m}{5} (- 15 p)

Simplify

- \frac{2 m}{5} \cdot 10 m - \frac{2 m}{5} \cdot 5 n - \frac{2 m}{5} (- 15 p) : - 4 m^{2} - 2 mn + 6 m p

= - 4 m^{2} - 2 mn + 6 m p

(\frac{m}{k} - k) (2 m - 1)

\frac{d}{d p} ((h) (60 h^{5} + 2 - p^{3}))

\frac{d ^{2}}{d x ^{2}} ((y) (5 x^{2} - 3) (7 x^{3} + x))

(x - 4 + 1)^{2}

\frac{4 ( 20 10 - 2 )}{27}

What is expand-(2m)/5 (10m+5n-15p) ?
The solution to expand-(2m)/5 (10m+5n-15p) is -4m^2-2mn+6mp