Answer:
[tex]-2a^2+4a+14[/tex]
Step-by-step explanation:
[tex]5a-a^2+15-3a-(a-1)^2[/tex]
[tex](a-1)^2[/tex] = [tex](a-1)(a-1)[/tex]
[tex](a-1)(a-1)[/tex] = [tex]a^2-1a-1a+1[/tex] = [tex]a^2-2a + 1[/tex]
[tex]5a-a^2+15-3a-(a^2-2a + 1)[/tex]
[tex]-1(a^2-2a + 1)[/tex] = [tex]-a^2+2a -1[/tex]
[tex]5a-a^2+15-3a-a^2+2a-1[/tex]
Now, we combine liked terms:
[tex](5a-3a+2a)+(-a^2-a^2)+(15-1)[/tex]
[tex]4a-2a^2+14[/tex]
Rewrite your expression in stand form:
[tex]-2a^2+4a+14[/tex]
Hope this helps!
