What is expand-3a(a^2-10a+25) ?

The solution to expand-3a(a^2-10a+25) is -3a^3+30a^2-75a

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expand-3a(a^2-10a+25)

expand

- 3 a (a^{2} - 10 a + 25)

- 3 a^{3} + 30 a^{2} - 75 a

Solution steps

- 3 a (a^{2} - 10 a + 25)

Apply the distributive law:

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

- 3 a (a^{2} - 10 a + 25) = - 3 a a^{2} - 3 a (- 10 a) - 3 a \cdot 25

= - 3 a a^{2} - 3 a (- 10 a) - 3 a \cdot 25

Simplify

- 3 a a^{2} - 3 a (- 10 a) - 3 a \cdot 25 : - 3 a^{3} + 30 a^{2} - 75 a

= - 3 a^{3} + 30 a^{2} - 75 a

5 x^{0}

\frac{18}{8}

x^{2} - \frac{1}{4}

\frac{sin ( x )}{1 - cos ( x )} + \frac{1 - cos ( x )}{sin ( x )}

x \times 2 x

What is expand-3a(a^2-10a+25) ?
The solution to expand-3a(a^2-10a+25) is -3a^3+30a^2-75a