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Popular >

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

Solution

simplify

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

Solution

x^{2} - 9 x + 16

Solution steps

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

Expand

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

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

Expand

- 5 (x - 2) : - 5 x + 10

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

Group like terms

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

Add similar elements:

- 4 x - 5 x = - 9 x

= x^{2} - 9 x + 4 + 10 + 2

Add the numbers:

4 + 10 + 2 = 16

= x^{2} - 9 x + 16

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Frequently Asked Questions (FAQ)

What is (x-2)^2-5(x-2)+2 ?
The solution to (x-2)^2-5(x-2)+2 is x^2-9x+16