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

The solution to (2x)^2(x-x^2)-4x(-x^3+x^2-5) is 20x

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

simplify

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

20 x

Solution steps

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

Simplify

(2 x)^{2} : 4 x^{2}

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

Expand

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

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

Expand

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

= 4 x^{3} - 4 x^{4} + 4 x^{4} - 4 x^{3} + 20 x

Add similar elements:

- 4 x^{4} + 4 x^{4} = 0

= 4 x^{3} - 4 x^{3} + 20 x

Add similar elements:

4 x^{3} - 4 x^{3} = 0

= 20 x

x^{2} + \frac{1}{7} x + \frac{1}{7}

(3 \cdot \frac{a}{2} + \frac{b}{4} - 2 c)^{2}

(\frac{2}{3} a - 3 \frac{b}{2} - 4 \frac{c}{5})^{2}

(x^{3} - 2 x^{2} + x - 1) (5 - x)

- x^{2} + 2 x + 15

What is (2x)^2(x-x^2)-4x(-x^3+x^2-5) ?
The solution to (2x)^2(x-x^2)-4x(-x^3+x^2-5) is 20x