What is expand (-x^2+2x-1)(2x^2+4x-1) ?

The solution to expand (-x^2+2x-1)(2x^2+4x-1) is -2x^4+7x^2-6x+1

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expand (-x^2+2x-1)(2x^2+4x-1)

expand

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

- 2 x^{4} + 7 x^{2} - 6 x + 1

Solution steps

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

Distribute parentheses

= - x^{2} \cdot 2 x^{2} - x^{2} \cdot 4 x - x^{2} (- 1) + 2 x \cdot 2 x^{2} + 2 x \cdot 4 x + 2 x (- 1) - 1 \cdot 2 x^{2} - 1 \cdot 4 x - 1 \cdot (- 1)

Simplify

- x^{2} \cdot 2 x^{2} - x^{2} \cdot 4 x - x^{2} (- 1) + 2 x \cdot 2 x^{2} + 2 x \cdot 4 x + 2 x (- 1) - 1 \cdot 2 x^{2} - 1 \cdot 4 x - 1 \cdot (- 1) : - 2 x^{4} + 7 x^{2} - 6 x + 1

= - 2 x^{4} + 7 x^{2} - 6 x + 1

(2)^{- \frac{1}{2}}

8 x^{5} - 32 x^{3}

\frac{12 x ^{4}}{3 x}

25 x^{10}

8 h

What is expand (-x^2+2x-1)(2x^2+4x-1) ?
The solution to expand (-x^2+2x-1)(2x^2+4x-1) is -2x^4+7x^2-6x+1