Question

3(p(5x) -5p(x+2)) если p(x)= x-4

Answer 1

3(р(5х) - 5р(х+2)) при р(х)= х - 4
раскроем скобки:
3(р(5х) - 5р(х+2)) =15рх-15рх-30р= -30р
если р(х) = х-4, то -30р(х) = 120-30х 

Answer 2

To find the expression 3(p(5x) - 5p(x+2)) where p(x) = x - 4, we substitute the expression for p(x) into the given equation and simplify it.

Let's start by finding p(5x):

p(5x) = (5x) - 4 = 5x - 4

Next, let's find p(x+2):

p(x+2) = (x+2) - 4 = x - 2

Now we can substitute these values back into the given expression:

3(p(5x) - 5p(x+2)) = 3((5x - 4) - 5(x - 2))

Now, we simplify:

= 3(5x - 4 - 5x + 10) = 3(5x - 5x + 10 - 4) = 3(6) = 18

Therefore, the expression 3(p(5x) - 5p(x+2)) simplifies to 18.