e(x + 1) + e(x - 4) = ?

e(2x - 3) or 2e(2x - 3)?

x^2 * x^3 = x^5 and not 2x^5

I didn't get what you're saying

e(x + 1) + e(x - 4)

= ex + e + ex - 4e
= 2ex - 3e
or
= e(2x-3)

Thanks!

To simplify the expressions, let's solve them step by step.

1. e(x + 1) + e(x - 4):
First, apply the distributive property, which states that a(b + c) = ab + ac.
e(x + 1) + e(x - 4) = ex + e(1) + ex - e(4).
Since e(1) and e(4) are constants, we can simplify further:
ex + e(1) + ex - e(4) = 2ex + e(1) - e(4).

2. e(2x - 3):
This expression is already in its simplest form, as we have only one term within the parentheses: 2x - 3.
So, e(2x - 3) remains the same and is not multiplied by any external coefficient.

2e(2x - 3):
This expression is similar to the previous one, but it's multiplied by the coefficient 2.
To simplify it, we can apply the distributive property:
2 * e(2x - 3) = 2e(2x - 3).

In summary, the simplified expressions are:

e(x + 1) + e(x - 4) = 2ex + e(1) - e(4)
e(2x - 3) remains the same
2e(2x - 3) = 2e(2x - 3)