What is expand-1/8 (x-1)^2 ?

The solution to expand-1/8 (x-1)^2 is -(x^2)/8+x/4-1/8

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expand-1/8 (x-1)^2

expand

- \frac{1}{8} (x - 1)^{2}

- \frac{x ^{2}}{8} + \frac{x}{4} - \frac{1}{8}

Solution steps

- \frac{1}{8} (x - 1)^{2}

Expand

(x - 1)^{2} : x^{2} - 2 x + 1

= - \frac{1}{8} (x^{2} - 2 x + 1)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

- \frac{1}{8} (x^{2} - 2 x + 1) = - \frac{1}{8} x^{2} - \frac{1}{8} (- 2 x) - \frac{1}{8} \cdot 1

= - \frac{1}{8} x^{2} - \frac{1}{8} (- 2 x) - \frac{1}{8} \cdot 1

Simplify

- \frac{1}{8} x^{2} - \frac{1}{8} (- 2 x) - \frac{1}{8} \cdot 1 : - \frac{x ^{2}}{8} + \frac{x}{4} - \frac{1}{8}

= - \frac{x ^{2}}{8} + \frac{x}{4} - \frac{1}{8}

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What is expand-1/8 (x-1)^2 ?
The solution to expand-1/8 (x-1)^2 is -(x^2)/8+x/4-1/8