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

The solution to expand 10a^2(a^3-3a^2+a) is 10a^5-30a^4+10a^3

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

expand

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

10 a^{5} - 30 a^{4} + 10 a^{3}

Solution steps

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

Apply the distributive law:

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

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

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

Simplify

10 a^{2} a^{3} + 10 a^{2} (- 3 a^{2}) + 10 a^{2} a : 10 a^{5} - 30 a^{4} + 10 a^{3}

= 10 a^{5} - 30 a^{4} + 10 a^{3}

(- 2 - 6 i) - (4 - 6 i)

\frac{1}{x} + \frac{x}{2}

\frac{9 + 6 2}{6 + 4 2}

x^{2} + 14 x

x^{4} - 2 x^{3} - 13 x^{2} + 38 x - 24

What is expand 10a^2(a^3-3a^2+a) ?
The solution to expand 10a^2(a^3-3a^2+a) is 10a^5-30a^4+10a^3