What is simplify-(a+2)^2-2(a+2)+3 ?

The solution to simplify-(a+2)^2-2(a+2)+3 is -a^2-6a-5

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simplify-(a+2)^2-2(a+2)+3

simplify

- (a + 2)^{2} - 2 (a + 2) + 3

- a^{2} - 6 a - 5

Solution steps

- (a + 2)^{2} - 2 (a + 2) + 3

Expand

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

= - a^{2} - 4 a - 4 - 2 (a + 2) + 3

Expand

- 2 (a + 2) : - 2 a - 4

= - a^{2} - 4 a - 4 - 2 a - 4 + 3

Group like terms

= - a^{2} - 4 a - 2 a - 4 - 4 + 3

Add similar elements:

- 4 a - 2 a = - 6 a

= - a^{2} - 6 a - 4 - 4 + 3

Add the numbers:

- 4 - 4 + 3 = - 5

= - a^{2} - 6 a - 5

\frac{5 3}{2 - 3}

- 8 x (x - 8) - 3 (8 + 5 x)

(- 8 n^{2} - n + 7) (5 n + 4)

\frac{345}{9}

(- 7 x)^{2}

What is simplify-(a+2)^2-2(a+2)+3 ?
The solution to simplify-(a+2)^2-2(a+2)+3 is -a^2-6a-5