What is expand m(-m^3+m^2+3m) ?

The solution to expand m(-m^3+m^2+3m) is -m^4+m^3+3m^2

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expand m(-m^3+m^2+3m)

expand

m (- m^{3} + m^{2} + 3 m)

- m^{4} + m^{3} + 3 m^{2}

Solution steps

m (- m^{3} + m^{2} + 3 m)

Apply the distributive law:

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

m (- m^{3} + m^{2} + 3 m) = m (- m^{3}) + m m^{2} + m \cdot 3 m

= m (- m^{3}) + m m^{2} + m \cdot 3 m

Simplify

m (- m^{3}) + m m^{2} + m \cdot 3 m : - m^{4} + m^{3} + 3 m^{2}

= - m^{4} + m^{3} + 3 m^{2}

(2 z - 1) (z^{2} - 2 z + 1)

(a + b)^{3}

4 \frac{3}{2}

(2 a - b)^{2}

lo g_{10} (\frac{3}{4})

What is expand m(-m^3+m^2+3m) ?
The solution to expand m(-m^3+m^2+3m) is -m^4+m^3+3m^2