Question

5a-a^2+15-3a-(a-1)^2
Simplify
And show your work pls!

Answer 1

`-2a^2+4a+14`

Explanation:

`5a-a^2+15-3a-(a-1)^2`

`(a-1)^2` =
`(a-1)(a-1)`

`(a-1)(a-1)` =
`a^2-1a-1a+1` =
`a^2-2a + 1`

`5a-a^2+15-3a-(a^2-2a + 1)`

`-1(a^2-2a + 1)` =
`-a^2+2a -1`

`5a-a^2+15-3a-a^2+2a-1`

Now, we combine liked terms:

`(5a-3a+2a)+(-a^2-a^2)+(15-1)`

`4a-2a^2+14`

Rewrite your expression in stand form:

`-2a^2+4a+14`

Hope this helps!