What is expand 5x(x^3+x^2+3x) ?

The solution to expand 5x(x^3+x^2+3x) is 5x^4+5x^3+15x^2

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expand 5x(x^3+x^2+3x)

expand

5 x (x^{3} + x^{2} + 3 x)

5 x^{4} + 5 x^{3} + 15 x^{2}

Solution steps

5 x (x^{3} + x^{2} + 3 x)

Apply the distributive law:

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

5 x (x^{3} + x^{2} + 3 x) = 5 x x^{3} + 5 x x^{2} + 5 x \cdot 3 x

= 5 x x^{3} + 5 x x^{2} + 5 x \cdot 3 x

Simplify

5 x x^{3} + 5 x x^{2} + 5 x \cdot 3 x : 5 x^{4} + 5 x^{3} + 15 x^{2}

= 5 x^{4} + 5 x^{3} + 15 x^{2}

\frac{( 3 a - 5 c )}{( 3 b - 5 d )}

\frac{( x ^{3} + 2 x ^{2} - x - 2 )}{( x ^{3} + 4 x ^{2} + x - 6 )}

169 x^{6} \cdot y^{4} + 26 x^{2} \cdot y^{3} \cdot z

(1 - x^{4})^{7}

8 x^{6} + 125

What is expand 5x(x^3+x^2+3x) ?
The solution to expand 5x(x^3+x^2+3x) is 5x^4+5x^3+15x^2