Answer: g(f(x)) = g(x²-7)=x
Step-by-step explanation:
The first step for solving this expression is to distribute

through the first set of parenthesis.

× (x - 9)
Now use the FOIL method to multiply each term in the first parenthesis by each term in the second parenthesis. This will look like the following:

x × x -

x × 9 -

x -

× (-9)
Remember that multiplying two negatives together equals a positive,, so the expression changes to:

x × x -

x × 9 -

x +

× 9
Calculate the product of all of the sets of multiplication to make the expression become:

x² -

x -

x +

Lastly,, calculate the difference of -

x -

x to find your final answer.

x² -

x +

Let me know if you have any further questions.
:)
Answer:
27x^3 - 54x^2 + 36x - 8
Step-by-step explanation:
(3x - 2)^3
= (3x - 2) (3x - 2) (3x - 2)
= 27x^3 - 54x^2 + 36x - 8
Hope this helps :)
Let me know if there are any mistakes!!
Answer:
u(12-v)
Step-by-step explanation:
12u and -uv both have a factor of <em>u </em>in common, so we can pull it out to give us the factored expression u(12-v).
<em>Note on factoring:</em>
<em>Remember, it's just using the distributive property in reverse! We can get our original expression back by distributing the u to the 12 and the -v.</em>