What is expand (2z-1)(z^2-2z+1) ?

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

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expand (2z-1)(z^2-2z+1)

expand

(2 z - 1) (z^{2} - 2 z + 1)

2 z^{3} - 5 z^{2} + 4 z - 1

Solution steps

(2 z - 1) (z^{2} - 2 z + 1)

Distribute parentheses

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

Simplify

2 z z^{2} + 2 z (- 2 z) + 2 z \cdot 1 - 1 \cdot z^{2} - 1 \cdot (- 2 z) - 1 \cdot 1 : 2 z^{3} - 5 z^{2} + 4 z - 1

= 2 z^{3} - 5 z^{2} + 4 z - 1

4 \frac{3}{2}

(2 a - b)^{2}

lo g_{10} (\frac{3}{4})

\frac{1}{4} \times 4

2^{2} + 4^{2}

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