What is (x+2)^2-2(x+2) ?

The solution to (x+2)^2-2(x+2) is x^2+2x

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

simplify

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

x^{2} + 2 x

Solution steps

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

Expand

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

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

Expand

- 2 (x + 2) : - 2 x - 4

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

Group like terms

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

Add similar elements:

4 x - 2 x = 2 x

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

Subtract the numbers:

4 - 4 = 0

= x^{2} + 2 x

(- 4 x + 1) - (- 7 x^{2} + 4 x + 2)

(a + h) (a + h) (a + h)

7 + 48

14 - 3 (4 n - 1)

2^{5} \cdot 2^{- 7}