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

The solution to expand (3+2x-5x^2)(2-3x+5x^2) is -25x^4+25x^3-x^2-5x+6

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expand (3+2x-5x^2)(2-3x+5x^2)

expand

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

- 25 x^{4} + 25 x^{3} - x^{2} - 5 x + 6

Solution steps

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

Distribute parentheses

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

Simplify

3 \cdot 2 + 3 (- 3 x) + 3 \cdot 5 x^{2} + 2 x \cdot 2 + 2 x (- 3 x) + 2 x \cdot 5 x^{2} - 5 x^{2} \cdot 2 - 5 x^{2} (- 3 x) - 5 x^{2} \cdot 5 x^{2} : - 25 x^{4} + 25 x^{3} - x^{2} - 5 x + 6

= - 25 x^{4} + 25 x^{3} - x^{2} - 5 x + 6

(1 - 4 x)^{3} - 2

43 (25 + 62)

\frac{5}{6} + \frac{1}{7}

23 - 3

5 \frac{1}{8} + 2 \frac{5}{8}

What is expand (3+2x-5x^2)(2-3x+5x^2) ?
The solution to expand (3+2x-5x^2)(2-3x+5x^2) is -25x^4+25x^3-x^2-5x+6