What is 2x^2(3x+3)+5x(8-4x^2) ?

The solution to 2x^2(3x+3)+5x(8-4x^2) is -14x^3+6x^2+40x

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simplify 2x^2(3x+3)+5x(8-4x^2)

simplify

2 x^{2} (3 x + 3) + 5 x (8 - 4 x^{2})

- 14 x^{3} + 6 x^{2} + 40 x

Solution steps

2 x^{2} (3 x + 3) + 5 x (8 - 4 x^{2})

Expand

2 x^{2} (3 x + 3) : 6 x^{3} + 6 x^{2}

= 6 x^{3} + 6 x^{2} + 5 x (8 - 4 x^{2})

Expand

5 x (8 - 4 x^{2}) : 40 x - 20 x^{3}

= 6 x^{3} + 6 x^{2} + 40 x - 20 x^{3}

Group like terms

= 6 x^{3} - 20 x^{3} + 6 x^{2} + 40 x

Add similar elements:

6 x^{3} - 20 x^{3} = - 14 x^{3}

= - 14 x^{3} + 6 x^{2} + 40 x

25 - - 4 + 9 - - 81

(a^{2} b - m n^{2} + x^{2} y^{2})^{2}

4^{l o g_{4} (3)}

7450 - 4320 + 380 - 5800

\frac{2 3}{6}

What is 2x^2(3x+3)+5x(8-4x^2) ?
The solution to 2x^2(3x+3)+5x(8-4x^2) is -14x^3+6x^2+40x