What is 2x(x+12)^2-x^3(x+12) ?

The solution to 2x(x+12)^2-x^3(x+12) is -x^4-10x^3+48x^2+288x

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simplify 2x(x+12)^2-x^3(x+12)

simplify

2 x (x + 12)^{2} - x^{3} (x + 12)

- x^{4} - 10 x^{3} + 48 x^{2} + 288 x

Solution steps

2 x (x + 12)^{2} - x^{3} (x + 12)

Expand

2 x (x + 12)^{2} : 2 x^{3} + 48 x^{2} + 288 x

= 2 x^{3} + 48 x^{2} + 288 x - x^{3} (x + 12)

Expand

- x^{3} (x + 12) : - x^{4} - 12 x^{3}

= 2 x^{3} + 48 x^{2} + 288 x - x^{4} - 12 x^{3}

Group like terms

= - x^{4} + 2 x^{3} - 12 x^{3} + 48 x^{2} + 288 x

Add similar elements:

2 x^{3} - 12 x^{3} = - 10 x^{3}

= - x^{4} - 10 x^{3} + 48 x^{2} + 288 x

(- 3) (- 2) (5)

t^{2} u (t - 4)

(b + 3 c) + (b + 3 c)

\frac{40}{55}

What is 2x(x+12)^2-x^3(x+12) ?
The solution to 2x(x+12)^2-x^3(x+12) is -x^4-10x^3+48x^2+288x