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Popular >

simplify (x-2)^2+2(x-2)+6

Solution

simplify

(x - 2)^{2} + 2 (x - 2) + 6

Solution

x^{2} - 2 x + 6

Solution steps

(x - 2)^{2} + 2 (x - 2) + 6

Expand

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

= x^{2} - 4 x + 4 + 2 (x - 2) + 6

Expand

2 (x - 2) : 2 x - 4

= x^{2} - 4 x + 4 + 2 x - 4 + 6

Group like terms

= x^{2} - 4 x + 2 x + 4 - 4 + 6

Add similar elements:

- 4 x + 2 x = - 2 x

= x^{2} - 2 x + 4 - 4 + 6

Add the numbers:

4 - 4 + 6 = 6

= x^{2} - 2 x + 6

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Frequently Asked Questions (FAQ)

What is (x-2)^2+2(x-2)+6 ?
The solution to (x-2)^2+2(x-2)+6 is x^2-2x+6