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Popular >

expand-3(x-2)^2

Solution

expand

- 3 (x - 2)^{2}

Solution

- 3 x^{2} + 12 x - 12

Solution steps

- 3 (x - 2)^{2}

Expand

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

= - 3 (x^{2} - 4 x + 4)

Apply the distributive law:

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

- 3 (x^{2} - 4 x + 4) = - 3 x^{2} - 3 (- 4 x) - 3 \cdot 4

= - 3 x^{2} - 3 (- 4 x) - 3 \cdot 4

Simplify

- 3 x^{2} - 3 (- 4 x) - 3 \cdot 4 : - 3 x^{2} + 12 x - 12

= - 3 x^{2} + 12 x - 12

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Frequently Asked Questions (FAQ)

What is expand-3(x-2)^2 ?
The solution to expand-3(x-2)^2 is -3x^2+12x-12