Factorization-6a ^ 3 + 4AB ^ 3-2a ^ 2B, 3A ^ 2 (X-Y) + 27 (Y-X)

Factorization-6a ^ 3 + 4AB ^ 3-2a ^ 2B, 3A ^ 2 (X-Y) + 27 (Y-X)

-6a^3+4ab^2-2a^2b
=-2a（3a^2-2b^2+ab）
=-2a（3a-2b）（a+b）
3a^2(x-y)+27(y-x)
=3a^2(x-y)-27(x-y)
=3(x-y)（a^2-9）
=3(x-y)（a-3）（a+3）

Extraction of common factors
(x+y)²-(x+y)³=
(x-y)²-(y-x)³=
(x-y)²-(x-y)³=

As a result, you are: (x + y) how do you do: (x + y) \\\12398\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(y)

2x-1/6-3x+1/8=x/2-1
Details, process, thank you very much

2x-1/6-3x+1/8=x/2-1
4(2x-1)-3(3x+1)=12x-24;
8x-4-9x-3=12x-24;
13x=17;
x=17/13;
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Simple calculation process of 0.94 * 2.5 + 0.094 * 75
See clearly, one is 0.94, the other is 0.094

0.94×（2.5＋7.5）＝9.4

Find the minimum integer n so that N2 + N + 24 can be divided by 2010,

-11.
All solutions are - 11, - 3,2,10;
First, 2010 is divided into positive factors: 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005 and 2010;
Replace the factor to solve the equation: n * n + N + 24 = factor;
The results can be solved;
The programming method is as follows:
#include
void main()
{
int n;
for(n=0;n-100000;n--)
if(2010%(n*n+n+24)==0)printf("%6d",n);
}

Solving equation 1 / 3x-16 = (100-x) × 1 / 10

x/3-16=10-x/10
x/3+x/10=16+10
13x/30=26
x=60

(1) The oil yield of soybean is 18%?
Please list the formula, complete solution,
(2) The two main components of a kind of "Ganmaotong tablet" are artificial bezoar (12%) and nabinamin maleate (2%)?
Please list the formula, complete solution,
3. (1) a kind of salt water, the mass of salt is 25% of water?
Please list the formula, complete solution,
(2) A kind of salt water, the mass ratio of salt to water is 1:4. There are 5 grams of salt, how many grams of water need to be added to prepare this kind of salt water?
Please list the formula, complete solution,

1. The taxi company saves 153 liters of gasoline in 15 days for six cars. How many liters of gasoline can each car save per day?
153÷15÷6=1.7
A: on average, each car saves 1.7 liters of fuel per day
(first, how many liters of fuel can be saved per day for six vehicles, then how many liters can be saved per day for each vehicle)
2. Three looms weave 151.2 meters in 8 hours. How many meters can one loom weave in 1 hour?
151.2÷8÷3=6.3
A: one loom can weave 6.3 meters per hour
(first, how many meters can three looms weave in one hour, then how many meters can one loom weave in one hour)

It is known that the limit of sequence an is A. It is proved that the limit of "absolute value of sequence an" is "absolute value of a"
Problems of Higher Mathematics in freshman year

The proof is as follows by using the definition of sequence limit
From "the limit of known sequence an is a", it can be concluded that:
For any given positive number e (no matter how small), there is always a positive integer n, as long as n > N, the inequality: | an-a|

The nth power of 2 * the nth power of 3 * the (n + 2) power of 5 / the nth power of 30

The nth power of 2 times the nth power of 3 is the nth power of 6, and then the nth power of 5 + 2 is written as the nth power of 5 times the nth power of 25.6 times the nth power of 5 is the nth power of 30, which is roughly separated from the denominator. Finally, there is only 25 left in the molecule, and the answer is 25

First 6.42 × 1.01-6.42 second 80.7 × 8.7 + 8.07 × 13

6.42×1.01-6.42
＝6.42x(1.01-1)
=6.42x0.01
=0.0642
80.7×8.7+8.07×13
=8.07x87+8.07x13
=8.07x(87+13)
=8.07x100
=807