What is expand (-2x^2+3x-1)(2x^2+3x+5) ?

The solution to expand (-2x^2+3x-1)(2x^2+3x+5) is -4x^4-3x^2+12x-5

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expand (-2x^2+3x-1)(2x^2+3x+5)

expand

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

- 4 x^{4} - 3 x^{2} + 12 x - 5

Solution steps

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

Distribute parentheses

= - 2 x^{2} \cdot 2 x^{2} - 2 x^{2} \cdot 3 x - 2 x^{2} \cdot 5 + 3 x \cdot 2 x^{2} + 3 x \cdot 3 x + 3 x \cdot 5 - 1 \cdot 2 x^{2} - 1 \cdot 3 x - 1 \cdot 5

Simplify

- 2 x^{2} \cdot 2 x^{2} - 2 x^{2} \cdot 3 x - 2 x^{2} \cdot 5 + 3 x \cdot 2 x^{2} + 3 x \cdot 3 x + 3 x \cdot 5 - 1 \cdot 2 x^{2} - 1 \cdot 3 x - 1 \cdot 5 : - 4 x^{4} - 3 x^{2} + 12 x - 5

= - 4 x^{4} - 3 x^{2} + 12 x - 5

\frac{y}{2 x} - \frac{1}{x}

(2 - 5 i) (3 + 2 i)

18 \div \frac{1}{3}

\frac{1 0 ^{- 3}}{1 0 ^{- 6}}

\frac{( 2 n ) !}{( 2 n - 3 ) !}

What is expand (-2x^2+3x-1)(2x^2+3x+5) ?
The solution to expand (-2x^2+3x-1)(2x^2+3x+5) is -4x^4-3x^2+12x-5