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Popular >

simplify (x-2)^2+4(x-2)+8

Solution

simplify

(x - 2)^{2} + 4 (x - 2) + 8

Solution

x^{2} + 4

Solution steps

(x - 2)^{2} + 4 (x - 2) + 8

Expand

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

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

Expand

4 (x - 2) : 4 x - 8

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

Group like terms

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

Add similar elements:

- 4 x + 4 x = 0

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

Add the numbers:

4 - 8 + 8 = 4

= x^{2} + 4

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Frequently Asked Questions (FAQ)

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