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

The solution to 3x^2-5x^3-x(2x^2+4x) is -7x^3-x^2

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

simplify

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

- 7 x^{3} - x^{2}

Solution steps

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

Expand

- x (2 x^{2} + 4 x) : - 2 x^{3} - 4 x^{2}

= 3 x^{2} - 5 x^{3} - 2 x^{3} - 4 x^{2}

Add similar elements:

- 5 x^{3} - 2 x^{3} = - 7 x^{3}

= 3 x^{2} - 7 x^{3} - 4 x^{2}

Group like terms

= - 7 x^{3} + 3 x^{2} - 4 x^{2}

Add similar elements:

3 x^{2} - 4 x^{2} = - x^{2}

= - 7 x^{3} - x^{2}

\frac{180}{60}

(- 5 r^{4} s^{12})^{4}

(7 - 2 i) (7 + 2 i)

- 2 (4 x - 15) - 3 (5 x^{2} + 7 x + 6)

1 \frac{4}{7}

What is 3x^2-5x^3-x(2x^2+4x) ?
The solution to 3x^2-5x^3-x(2x^2+4x) is -7x^3-x^2