(w_2)(w+7) multiply and simplify your answer

W always equal 1 so you do
( 1+ 2 ) ( 1+ 7 ) = then multiple /
2. x. 8. = 16?

If there is no number in between sets of numbers, it’s going to be multiplication.
So (w+2) x (w+7)

w+2, well, evaluates into w+2.
w+7 is w+7.

We’ll use the FOIL method for this.
FOIL stands for:

First
Outer
Inner
Last

Let’s start with the first terms. Multiply them.  
So: w * w.
Combine both w’s, and you get \( w^2 \).

Now multiply the outer terms.  
w * 7 = 7w.


Then the inner terms. 2 and w.
2 x w = 2w.

So our current numbers are: \( w^2 \), 7w, and 2w.
We can add 7w and 2w together.
7w + 2w = 9w.

Now multiply the last terms.
2 x 7 = 14.

So, this simplifies to \( w^2+9w+14 \)


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