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Popular >

simplify (x-1)^2-2(x-1)

Solution

simplify

(x - 1)^{2} - 2 (x - 1)

Solution

x^{2} - 4 x + 3

Solution steps

(x - 1)^{2} - 2 (x - 1)

Expand

(x - 1)^{2} : x^{2} - 2 x + 1

= x^{2} - 2 x + 1 - 2 (x - 1)

Expand

- 2 (x - 1) : - 2 x + 2

= x^{2} - 2 x + 1 - 2 x + 2

Group like terms

= x^{2} - 2 x - 2 x + 1 + 2

Add similar elements:

- 2 x - 2 x = - 4 x

= x^{2} - 4 x + 1 + 2

Add the numbers:

1 + 2 = 3

= x^{2} - 4 x + 3

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Frequently Asked Questions (FAQ)

What is (x-1)^2-2(x-1) ?
The solution to (x-1)^2-2(x-1) is x^2-4x+3