What is expand (2x^2-3x+1)(x^2-4x-3) ?

The solution to expand (2x^2-3x+1)(x^2-4x-3) is 2x^4-11x^3+7x^2+5x-3

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expand (2x^2-3x+1)(x^2-4x-3)

expand

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

2 x^{4} - 11 x^{3} + 7 x^{2} + 5 x - 3

Solution steps

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

Distribute parentheses

= 2 x^{2} x^{2} + 2 x^{2} (- 4 x) + 2 x^{2} (- 3) - 3 x x^{2} - 3 x (- 4 x) - 3 x (- 3) + 1 \cdot x^{2} + 1 \cdot (- 4 x) + 1 \cdot (- 3)

Simplify

2 x^{2} x^{2} + 2 x^{2} (- 4 x) + 2 x^{2} (- 3) - 3 x x^{2} - 3 x (- 4 x) - 3 x (- 3) + 1 \cdot x^{2} + 1 \cdot (- 4 x) + 1 \cdot (- 3) : 2 x^{4} - 11 x^{3} + 7 x^{2} + 5 x - 3

= 2 x^{4} - 11 x^{3} + 7 x^{2} + 5 x - 3

(a + b)^{- 2}

\frac{z ^{2}}{z + 1} \cdot \frac{z ^{2} + 3 z + 2}{z ^{2} + 3 z}

\frac{2}{x + 1} - \frac{4}{x - 1}

(\frac{2}{3})^{- 2} (\frac{2}{3})^{3}

\frac{1}{\frac{1}{3}}

What is expand (2x^2-3x+1)(x^2-4x-3) ?
The solution to expand (2x^2-3x+1)(x^2-4x-3) is 2x^4-11x^3+7x^2+5x-3