What is (2x-3)2-3.5x^2(2x-5)+6x(2.5x^2-x+3.1) ?

The solution to (2x-3)2-3.5x^2(2x-5)+6x(2.5x^2-x+3.1) is 8x^3+11.5x^2+22.6x-6

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simplify (2x-3)2-3.5x^2(2x-5)+6x(2.5x^2-x+3.1)

simplify

(2 x - 3) 2 - 3.5 x^{2} (2 x - 5) + 6 x (2.5 x^{2} - x + 3.1)

8 x^{3} + 11.5 x^{2} + 22.6 x - 6

Solution steps

(2 x - 3) \cdot 2 - 3.5 x^{2} (2 x - 5) + 6 x (2.5 x^{2} - x + 3.1)

= 2 (2 x - 3) - 3.5 x^{2} (2 x - 5) + 6 x (2.5 x^{2} - x + 3.1)

Expand

2 (2 x - 3) : 4 x - 6

= 4 x - 6 - 3.5 x^{2} (2 x - 5) + 6 x (2.5 x^{2} - x + 3.1)

Expand

- 3.5 x^{2} (2 x - 5) : - 7 x^{3} + 17.5 x^{2}

= 4 x - 6 - 7 x^{3} + 17.5 x^{2} + 6 x (2.5 x^{2} - x + 3.1)

Expand

6 x (2.5 x^{2} - x + 3.1) : 15 x^{3} - 6 x^{2} + 18.6 x

= 4 x - 6 - 7 x^{3} + 17.5 x^{2} + 15 x^{3} - 6 x^{2} + 18.6 x

Group like terms

= - 7 x^{3} + 15 x^{3} + 17.5 x^{2} - 6 x^{2} + 4 x + 18.6 x - 6

Add similar elements:

- 7 x^{3} + 15 x^{3} = 8 x^{3}

= 8 x^{3} + 17.5 x^{2} - 6 x^{2} + 4 x + 18.6 x - 6

Add similar elements:

17.5 x^{2} - 6 x^{2} = 11.5 x^{2}

= 8 x^{3} + 11.5 x^{2} + 4 x + 18.6 x - 6

Add similar elements:

4 x + 18.6 x = 22.6 x

= 8 x^{3} + 11.5 x^{2} + 22.6 x - 6

- 3 \cdot (- 6)

8 - 52 + 6128

\frac{1}{3} (x + h)^{3}

- \frac{1}{x} - \frac{1}{x}

What is (2x-3)2-3.5x^2(2x-5)+6x(2.5x^2-x+3.1) ?
The solution to (2x-3)2-3.5x^2(2x-5)+6x(2.5x^2-x+3.1) is 8x^3+11.5x^2+22.6x-6