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Popular >

simplify (x-2)^2-4(x-2)

Solution

simplify

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

Solution

x^{2} - 8 x + 12

Solution steps

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

Expand

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

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

Expand

- 4 (x - 2) : - 4 x + 8

= x^{2} - 4 x + 4 - 4 x + 8

Group like terms

= x^{2} - 4 x - 4 x + 4 + 8

Add similar elements:

- 4 x - 4 x = - 8 x

= x^{2} - 8 x + 4 + 8

Add the numbers:

4 + 8 = 12

= x^{2} - 8 x + 12

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Frequently Asked Questions (FAQ)

What is (x-2)^2-4(x-2) ?
The solution to (x-2)^2-4(x-2) is x^2-8x+12