1.4x * (xsquare-1 / 2x-1) 2a(a-4b)-b(a+2b) 3.(x+2)(x-4)-x(1-2x) 4.6x(x+1)-(2x+3)(3x-1)

1.4x * (xsquare-1 / 2x-1) 2a(a-4b)-b(a+2b) 3.(x+2)(x-4)-x(1-2x) 4.6x(x+1)-(2x+3)(3x-1)

4X * (xsquare-1 / 2x-1)
=4x*x²-4x×1/2x-4x*1
=4x³-2x²-4x
a(a-4b)-b(a+2b)
=a²-4ab-ab-2b²
=a²-5ab-2b²
(x+2)(x-4)-x(1-2x)
=x²-2x-8-x+2x²
=3x²-3x-8
6x(x+1)-(2x+3)(3x-1)
=6x²+6x-(6x²+7x-3)
=-x+3

11x of 6 times 5 of 6 + 11x of 15 = 1 (find the unknown)
There must be a process of solving the equation

11X/6×5/6+11X/15=1
55X/36+11X/15=1
(5×55X)/(5×36)+(12×11X)/(12×15)=1
275X/180+132X/180=1
407X/180=1
X=1÷(407/180)
X=180/407

The eighth power of eight is equal to the power of four

8^8=(2^3)^8=2^24=(2^2)^12=4^12.

Eating hobbies are different

This is not a gerund as the subject, eating is just the attributive of hobbies

The simplest form of the linear equation with one variable of X is AX = B (a, B denote known number). When a ≠ 0, it has a unique solution x = A / b
Then, why does the equation 3 (AX-2) - (x + 1) = 2 (1 / 2 + x) have a unique solution when a is a? What is the solution?

Original equation simplification: 3ax-6-x-1 = 1 + 2x
3ax-3x=8
(3a-3)x=8
When 3a-3 ≠ 0, i.e. a ≠ 1, there is a unique solution, x = 8 / (3a-3)

Many a, more than one... Is the predicate singular or plural? The teacher said plural. I checked it and said singular on the Internet?

If the subject has more than one Or many a Composition, though in a sense
It's plural, but its predicate is singular
More than one student has seen the play
Many a boy has bought that kind of toy.
But after "more + plural noun + than one", the predicate is plural
Similar usage
1. When the head word of a noun phrase is a plural noun such as measure, distance, amount, time and book title, we can often regard these plural nouns as a whole according to the principle of consistent meaning, and the predicate is singular
Thirty years has passed.
Five minutes is enough to finish the task.
2. Even if the nouns modified by the indefinite pronouns each, every and no are connected into multiple subjects by and or comma, the predicate verb is still in the singular form
Each boy and each girl in my class has a dictionary.
3. If the subject is composed of a kind of, a pair of, a series of and other nouns, the predicate verb is usually in the singular form
A pair of shoes was on the desk.
wait.
There are also specific discussions on the subject predicate agreement, such as the principle of proximity, the principle of distance, if necessary [email protected] The mailbox said to send the complete documents of the school
I hope I can help you_ ∩)O~

Given △ ABC, angle a = 45 °, angle B = 60 ° and ab = 8, find the length of AC and BC and the area of △ ABC

In the right triangle ACD, because the angle a = 45 degrees, so the angle ACD = 45 degrees ∠ a = ∠ ACD, so ad = CD let CD = a, then ad = abd = ab-ad = 8-A in the right triangle BCD, tan60 = CD / BD √ 3 = A / (8-A) a = 12-4 √ 3bd = 8-A = 4 √ 3-4, because the angle BCD = 30 degrees, so BC = 2bd = 8 (√ 3-1) ad

The usage of an English phrase~
"Acknowledge the superiority of"
But is of followed by a person's name, personal pronoun or some other nouns (such as height, weight, etc.)?

1、 "Superiority" is often used with prepositions to, in and over, such as: the superiority over the enemy forces superiority in strength superiority to difficulty

What is the mathematical problem (1985 + 1987 + 1989 + 1991 +. + 1999) / (1986 + 1988 + 1990 +. + 2000)
Simple calculation, not only the answer
Come and answer the questions in an hour,

Sum formula of arithmetic sequence Sn = (a1 + an) n / 2
So molecular Sn = (1985 + 1999) × 8 / 2
Denominator Sn = (1986 + 2000) × 8 / 2
So the numerator / denominator = [(1985 + 1999) × 4] / [(1986 + 2000) × 4] = (1985 + 1999) / (1986 + 2000) = (1986 + 2000-2) / (1986 + 2000) = 1-2 / (1986 + 2000) = 1-1 / 1993 = 1992 / 1993

About "out" in senior high school English, including Chinese explanation,

That's probably the most common
Blow out (a tire)
To bring out; publish
Burst out / into (laughter, crying); burst out
Carry out carry out carry out
To check out; check out
Come out come out come out come out
Cut out delete
Get out / into
Get out of
Find out
Fill in / out
Give out
Hold out
Let out
Keep out of outside
Knock out
Look out
Point out
To put out (a light); publish; produce