Question

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

Answer 1

Answer:

$-2a^2+4a+14$

Step-by-step 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!