Answer:
the second one would be the answer
<h3>
Answer: 10,080</h3>
Explanation:
There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.
So,
(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080
is the number of ways to arrange the letters of "football".
The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.
Answer:
x^3 + 4x^2 - 7x - 10
Step-by-step explanation:
To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.
Answer:
like 60 or something
Step-by-step explanation:
Answer: x² - x - 12
Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.
<em>First, Outer, Inner, Last</em>.
We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.
So we have x² - 4x + 3x - 12.
Simplifying from here by combing the middle terms, we have x² - x - 12.
Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.
