Answer: (x³ + 3)(x³ - 3)
Explanation: A variable taken to any even power is a perfect square. Its factors will have exponents equal to one-half the original power.
In this case, x⁶ would therefore be a perfect square.
Since 9 is also a perfect square,
what we have here is the difference of two squares.
That can be factored as the product of two binomials,
one with a plus and one with a minus.
So we have ( + )( - ).
Now ask yourself "what are the factors of x⁶ that are the same?"
Remember the rule is that those factors will use
one-half the exponent on the original.
So the factors of x⁶ that are the same are x³ and x³.
The factors of 9 that are the same are 3 and 3.
So our answer is (x³ + 3)(x³ - 3) and that's all there is to it.
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Answer:
7,500 Pages
Step-by-step explanation:
So this printer can prink 25 pages in 1 (x) minute.
There are 60 minutes in an hour and we are waiting 5 hours, so 5x60 = 300 minutes.
Then you take the 300 and plug it in for x because that is how many minutes we are waiting for. Now your equation should look like this:
p(x) = 25(300)
Next you multiply 25 x 300 and you get 7,500 pieces of paper
You have 50 ways because if there are 10 different types of prizes with 5 prizes you can just multiply that to get your different ways to select the prizes.