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Popular >

simplify (x-2)^2+5(x-2)+8

Solution

simplify

(x - 2)^{2} + 5 (x - 2) + 8

Solution

x^{2} + x + 2

Solution steps

(x - 2)^{2} + 5 (x - 2) + 8

Expand

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

= x^{2} - 4 x + 4 + 5 (x - 2) + 8

Expand

5 (x - 2) : 5 x - 10

= x^{2} - 4 x + 4 + 5 x - 10 + 8

Group like terms

= x^{2} - 4 x + 5 x + 4 - 10 + 8

Add similar elements:

- 4 x + 5 x = x

= x^{2} + x + 4 - 10 + 8

Add the numbers:

4 - 10 + 8 = 2

= x^{2} + x + 2

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Frequently Asked Questions (FAQ)

What is (x-2)^2+5(x-2)+8 ?
The solution to (x-2)^2+5(x-2)+8 is x^2+x+2