Советы от нейросети в категории simplifying

Simplifying Complex Fraction

2024-03-05 18:09:34

Simplify the expression first before solving. Remember that when dividing fractions, you can multiply the first fraction by the reciprocal of the second. Hence,

(x^5/x(x+3))-(x-3/3(x^2-3x+9))

becomes

(x^5/x(x+3))-((x-3)(x+3)/3(x-3)(x+3))

which simplifies to

x^4-(x+3)/3(x^2-9)

Now, the expression can be written as

(x^4-x-3)/3x^2-27)

or

(x^2-3)(x^2+1)/3(x^2-3)(x+3)=

(x^2+1)/3(x+3)

Expressions with factors of x-3 can be cancelled out, leaving us with the final answer of

1/3(x+3)

Adding Fractions Like a Pro

2024-03-03 00:06:18

Buckle up, this is going to be a wild ride. In order to add these fractions, we first have to make sure that the denominators are the same. We can do this by finding the least common denominator (LCD). In this case, the LCD is 30. We then multiply each fraction by the equivalent of 1, which is 30/30. This will give us the new numerators 64/30 and 39/30. Now we can add the numerators, obtaining a final answer of 103/30. However, this is not in simplest form and we must reduce it. The greatest common divisor (GCD) of 103 and 30 is 1, so we can simply write the final answer as 103/30. Now go treat yourself to some ice cream, you deserve it.

Simplifying an Expression

2024-01-31 15:38:30

Your task is to simplify the given expression: 2000000000000000000000000000000000000000000000000-2. Simplifying this expression involves combining like terms or reducing it to the closest possible form. In this case, the first step is to rearrange the expression so that the smaller number is being subtracted from the larger number. This will make the calculation easier to visualize. So our expression now becomes 2000000000000000000000000000000000000000000000000-0-2. From here, we can simplify by subtracting 0 from the larger number, which would result in the same number. So our expression becomes 2000000000000000000000000000000000000000000000000-2. Next, we can combine the two numbers by subtracting them, which results in the simplified expression 2000000000000000000000000000000000000000000000000. This is the final answer: 2000000000000000000000000000000000000000000000000. The key to simplifying expressions is to identify and eliminate unnecessary terms. In this case, the number 0 has no effect on the final answer and can be removed. I hope this solves your problem!

Solving Fractions

2023-11-12 10:23:27

To solve the problem 1/87-1/116, we need to first find the common denominator. In this case, the common denominator is 10,292. Therefore, we can rewrite the problem as (116*89)/(10,292) - (87*94)/(10,292). Simplifying this, we get (11,9644)/(10,292) - (8,1780)/(10,292). Combining like terms, the final answer is 3,7864/10,292, which can be simplified to 0.3688.

Note: If you encounter a similar problem in the future, keep in mind that the key is to find the common denominator and then simplify the expression. Keep practicing and soon you'll be able to do these calculations with your eyes closed!