Question

P(x - 5) - p(6 - x), если р(x) = 5x - 4.

Answer 1

Ответ:

p(x - 5) - p(6 - x) = 5(x - 5) - 4 - ( 5(6 - x) - 4 ) = 5x - 25 - 4 - 30 + 5x + 4 = 10x - 55

Если в условии опечатка, то

p(x - 5) + p(6 - x) = 5(x - 5) - 4 + 5(6 - x) - 4 = 5x - 25 - 4 + 30 - 5x - 4 = - 29 + 26 = - 3

Вместо аргумента х подставляем сначала (х - 5), потом (6 - х), в этом и смысл данного задания

Answer 2

To simplify the expression P(x - 5) - P(6 - x) when P(x) = 5x - 4, we need to substitute the given expression for P(x) and then perform the necessary calculations. Let's break down the steps:

1. Substitute P(x) = 5x - 4 into the expression:

   P(x - 5) - P(6 - x) = (5(x - 5) - 4) - (5(6 - x) - 4)

2. Distribute and simplify each term:

   P(x - 5) = 5x - 25 - 4 = 5x - 29 P(6 - x) = 5(6 - x) - 4 = 30 - 5x - 4 = 26 - 5x

3. Substitute the simplified expressions back into the original expression:

   (5x - 29) - (26 - 5x)

4. Distribute the negative sign:

   5x - 29 - 26 + 5x

5. Combine like terms:

   10x - 55

So, the simplified expression of P(x - 5) - P(6 - x) when P(x) = 5x - 4 is 10x - 55.