Question

G(a+5)= 1 - 2(a+5)-(a+5)^2

Answer 1

The student's question involves simplifying a quadratic function expression: g(a+5). The answer explains that this expression simplifies to -a^2 - 12a - 34.

Step-by-step explanation:

The student is asking for an expansion or simplification of the expression related to a function g(a+5).

The function is given as g(a+5)= 1 - 2(a+5) - (a+5)^2. To simplify,

we need to distribute and combine like terms.

1. Distribute the -2 across the (a+5) to get -2a - 10.
2. Expand (a+5)^2 to get a^2 + 10a + 25.
3. Combine all like terms and constants.

Thus, g(a+5) simplifies to -a^2 - 12a - 34.

This is a quadratic function in terms of a.