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$$\frac{(14-4)^{2}-4^{3}}{4 \cdot 9-3 \cdot 11}$$
So in this problem, we're gonna use order of operations or penned asked to solve it. And because of this fraction bar, that means that I'm gonna treat everything on top as its own problem and everything on bottom as its own problem. So the top the first time the scan for is parentheses. And on the top, I see parentheses 14 minus four. So I'm going to do that. So I'm gonna get 14 minutes for is 10 and I'm going to rewrite the rest of the problem. So 10 squared minus four, cubed over Now on the bottom. I'm gonna also do the same thing and I don't see any parentheses. I don't see any exponents, but I do see multiplication. So four times nine is 36 minus. I can also do three times 11. Since I know this multiplication will happen before this subtraction which is 33 some of the top again. I go 10 times 10 sets exponents which would be 100 minus. And I can also this this exponents since I know this expert will happen for its attraction for to the third power, remember, That means to four times four times four four times for 16 16 times for 64 and in the bottom, I've got 36 minus 33 which is three now. 100 minus 64 or 100 minus 60 is 40 40 minus for is 36 and 36. Divided by three is 12.
To multiply these two. I just need to realize that they have the same sign. The product of two numbers with the same sign is going to be positive. So if I just multiply those two numbers, I don't need to write the positive sign. But my answer is positive because they both have the same sign.
S so we're asked to solve this equation when we start by splitting it up into two new equations. So four wide close to is equal to 14. But also we have to consider for awhile close to is equal to minus 14. And so, for by solving both get for why, equal to 12 wise equal to three. And then here I get 41 is equal to minus 16. After subtracting to run, dividing by four on both sides and get wise equal to minus four. I can check those solutions by plugging them in for the first phone four times three plus two. They have survived. That is 14. So that's good. And then, for the 2nd 14 times negative four is negative. 16 plus two gives me negative 14. Absolute value of negative 14 is 14. So both of these solutions work. And so this is your final answer.
S so we're asked to solve this equation when we start by splitting it up into two new equations. So four wide close to is equal to 14. But also we have to consider for awhile close to is equal to minus 14. And so, for by solving both get for why, equal to 12 wise equal to three. And then here I get 41 is equal to minus 16. After subtracting to run, dividing by four on both sides and get wise equal to minus four. I can check those solutions by plugging them in for the first phone four times three plus two. They have survived. That is 14. So that's good. And then, for the 2nd 14 times negative four is negative. 16 plus two gives me negative 14. Absolute value of negative 14 is 14. So both of these solutions work. And so this is your final answer.