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Popular >

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

Solution

simplify

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

Solution

x^{2} + 4 x - 8

Solution steps

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

Expand

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

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

Expand

8 (x - 2) : 8 x - 16

= x^{2} - 4 x + 4 + 8 x - 16 + 4

Group like terms

= x^{2} - 4 x + 8 x + 4 + 4 - 16

Add similar elements:

- 4 x + 8 x = 4 x

= x^{2} + 4 x + 4 + 4 - 16

Add the numbers:

4 + 4 - 16 = - 8

= x^{2} + 4 x - 8

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simplify 4891/121106 (-65)simplify

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Frequently Asked Questions (FAQ)

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