Question

Consider the following expression.
3(x - 2) - 9(x**2 + 7 x + 4) - 5(x + 8)

(a) Simplify the expression.

Answer 1

3(x-2)-9(x^2+7x+4)-5(x+8)
3x-6-9x^2-63x-36-5x-40
-9x^2-65x-82

Answer 2

you have to know the distributive property in order to do this one.

x(a+b)= xa+xb

so first, to make it easier, separate it. Like this:
3(x-2)
-9(x**2+7x+4)
-5(x+8)

Lets start with 3(x-2) 3*x is 3x and 3*-2 is -6... 3x-6

-9*x**2 is -9x**2 and -9*7x is -63x and -9*4 is -36 so this is -9**2-63x-36

-5(x+8) -5*x+ =5x and -5*8+ -40!!!!!

so you add these together to get

3x-6-9x**2-63x-36-5x-40

then you have to add all the like monomials together, which hopefully you can do but i'll explain it nonetheless.

63x+3x-5x= -65x
-6-36-40= -82
then -9x**2

putting these together, we get...(drum roll please :P)


-9x**2-65x-82!!!!!!!!

im tired. hope this helped.