What is expand m(2x^2(4t^2-x)) ?

The solution to expand m(2x^2(4t^2-x)) is 8mx^2t^2-2mx^3

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expand m(2x^2(4t^2-x))

expand

m (2 x^{2} (4 t^{2} - x))

8 m x^{2} t^{2} - 2 m x^{3}

Solution steps

m (2 x^{2} (4 t^{2} - x))

Remove parentheses:

(a) = a

= m \cdot 2 x^{2} (4 t^{2} - x)

= 2 m x^{2} (4 t^{2} - x)

Apply the distributive law:

a (b - c) = ab - a c

a = m \cdot 2 x^{2}, b = 4 t^{2}, c = x

= m \cdot 2 x^{2} \cdot 4 t^{2} - m \cdot 2 x^{2} x

= 2 \cdot 4 m x^{2} t^{2} - 2 m x^{2} x

Simplify

2 \cdot 4 m x^{2} t^{2} - 2 m x^{2} x : 8 m x^{2} t^{2} - 2 m x^{3}

= 8 m x^{2} t^{2} - 2 m x^{3}

(3 - 2 x)^{3} d x

2 \cdot (\frac{x}{3} - \frac{1}{4})

(a - 2) (3 + 6)

\frac{3 x ( x - 6 )}{5 x ^{2} - 34 x - 7}

e^{π (1 + i)}

What is expand m(2x^2(4t^2-x)) ?
The solution to expand m(2x^2(4t^2-x)) is 8mx^2t^2-2mx^3