What is simplify-(x+2)^2+4(x+2)+1 ?

The solution to simplify-(x+2)^2+4(x+2)+1 is -x^2+5

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simplify-(x+2)^2+4(x+2)+1

simplify

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

- x^{2} + 5

Solution steps

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

Expand

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

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

Expand

4 (x + 2) : 4 x + 8

= - x^{2} - 4 x - 4 + 4 x + 8 + 1

Group like terms

= - x^{2} - 4 x + 4 x - 4 + 8 + 1

Add similar elements:

- 4 x + 4 x = 0

= - x^{2} - 4 + 8 + 1

Add the numbers:

- 4 + 8 + 1 = 5

= - x^{2} + 5

(2 - 7 i) (3 + i)

b^{4} b^{- 8}

63 \cdot 2

(z - (4 - i)) (z - (4 + i))

\frac{cos ( x )}{cos ( x ) + 1}

What is simplify-(x+2)^2+4(x+2)+1 ?
The solution to simplify-(x+2)^2+4(x+2)+1 is -x^2+5