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

The solution to expand (x-1)(3x^2-5x-3) is 3x^3-8x^2+2x+3

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

expand

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

3 x^{3} - 8 x^{2} + 2 x + 3

Solution steps

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

Distribute parentheses

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

Simplify

x \cdot 3 x^{2} + x (- 5 x) + x (- 3) - 1 \cdot 3 x^{2} - 1 \cdot (- 5 x) - 1 \cdot (- 3) : 3 x^{3} - 8 x^{2} + 2 x + 3

= 3 x^{3} - 8 x^{2} + 2 x + 3

2 \cdot 1 0^{- 7}

x^{2} - 4 x^{2}

\frac{1 + 8 i}{- 5 - 9 i}

\frac{100}{121}

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

What is expand (x-1)(3x^2-5x-3) ?
The solution to expand (x-1)(3x^2-5x-3) is 3x^3-8x^2+2x+3