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Popular >

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

Solution

expand

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

Solution

- \frac{x ^{2}}{2} + 2 x - 2

Solution steps

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

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

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

Apply the distributive law:

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

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

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

Simplify

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

= - \frac{x ^{2}}{2} + 2 x - 2

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Frequently Asked Questions (FAQ)

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