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Popular >

expand-2(x-2)^2

Solution

expand

- 2 (x - 2)^{2}

Solution

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

Solution steps

- 2 (x - 2)^{2}

Expand

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

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

Apply the distributive law:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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