What is expand (x-5)(4x^2-2x+1) ?

The solution to expand (x-5)(4x^2-2x+1) is 4x^3-22x^2+11x-5

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expand (x-5)(4x^2-2x+1)

expand

(x - 5) (4 x^{2} - 2 x + 1)

4 x^{3} - 22 x^{2} + 11 x - 5

Solution steps

(x - 5) (4 x^{2} - 2 x + 1)

Distribute parentheses

= x \cdot 4 x^{2} + x (- 2 x) + x \cdot 1 - 5 \cdot 4 x^{2} - 5 (- 2 x) - 5 \cdot 1

Simplify

x \cdot 4 x^{2} + x (- 2 x) + x \cdot 1 - 5 \cdot 4 x^{2} - 5 (- 2 x) - 5 \cdot 1 : 4 x^{3} - 22 x^{2} + 11 x - 5

= 4 x^{3} - 22 x^{2} + 11 x - 5

4 (8 x + 1) - 6 (1 - 8 x)

\frac{1}{1 + 4 i} + \frac{1}{1 + 5 i}

32.5

\frac{1}{10} + \frac{2}{5}

x^{6} - 8 y^{3}

What is expand (x-5)(4x^2-2x+1) ?
The solution to expand (x-5)(4x^2-2x+1) is 4x^3-22x^2+11x-5