(- 2x to the fourth power) + 2x to the tenth power (- 2x2) 3 + 2x to the tenth power × 5 (x to the fourth power) 3

(- 2x to the fourth power) + 2x to the tenth power (- 2x2) 3 + 2x to the tenth power × 5 (x to the fourth power) 3

Original formula = 16x ^ 16-16x ^ 16 + 10x ^ 14
=10x^14

Factorization: the fourth power of X - the third power of 3x + 2x + 4
Factorization factor: 4 power of X - 3 power of 3x + 2x + 4

Original formula = x ^ 4-2x & sup3; - X & sup3; + 2x & sup2; - 2x & sup2; + 2x + 4
=x³(x-2)-x²(x-2)-2(x²-x-2)
=(x-2)(x³-x²)-2(x-2)(x+1)
=(x-2)(x³-x²-2x-2)

Find the cube of X (8-0.1x) + 0.027 = 0

Cube of (8-0.1x) + 0.027 = 0
（8-0.1x)^3=-0.027
8-0.1x=-0.3
0.1x=8+0.3
0.1x=8.3
x=83

A rectangle is measured on a drawing with a scale of 1:2000. Its length is 4cm and its width is 3cm. Its actual area is

The scale on the map is the length scale, so the length and width should be enlarged to this scale. 4cm * 2000 = 80m, 3cm * 2000 = 60m, so the area is 80 * 60 = 4800M2

Mathematician's story is less than 100 words

Epitaphs of mathematicians
Some mathematicians devoted themselves to mathematics, and on their tombstones after their death, they engraved marks representing their life achievements
Archimedes, an ancient Greek scholar, died at the hands of Roman enemy soldiers who attacked Sicily (before he died, he still said: "don't break my circle"), In memory of his discovery that the volume and surface area of a sphere are two thirds of the volume and surface area of its circumscribed cylinder, Even in his will, he proposed to build a tombstone with a prismatic base
Rudolph, a German mathematician in the 16th century, spent his whole life calculating the PI to 35 decimal places. Later generations called it Rudolph's number. After his death, others engraved it on his tombstone. Swiss mathematician Jacques Bernoulli studied the spiral (known as the line of life) before his death. After his death, a logarithmic spiral was engraved on his tombstone, At the same time, the inscription also reads: "I have changed, but I am the same as before". This is a pun that not only depicts the nature of spiral, but also symbolizes his love for mathematics

How to divide a right triangle with a vertex angle of 30 degrees into three equal parts of area and shape?
A right triangle is divided into three parts

Divide a right side of a right triangle equally into three parts, and then connect the two lines of the two parts to the opposite vertex. The three triangles are equal in height, so they have the same area

What is discount in mathematics? Please give an example in your life,
It's better to have five,
Discount for the new edition of mathematics No.11, come on!

A discount is a percentage of a number
In reality, the most common is shopping inside the mall!
For example, a 10% discount on an item is 90% of the original price multiplied by 0.9
75% by 0.75

Vector calculation │ a │ = 1, │ B │ = 1, the included angle of a and B is 60 ° │ 2a-b │ =?

From | a | = 1, | B | = 1, = 60 °, it is obtained that:
a*b=|a|*|b|*cos=1/2.
So | 2a-b | ^ 2 = 4 | a | ^ 2-4a * B + | B | ^ 2 = 3,
|2a-b|=√3

As shown in the figure, in △ ABC, be and CF are the heights on the sides of AC and ab respectively, and M is the midpoint of BC
I can't do it···

It is proved that: be and CF are high, that is be ⊥ AC, CF ⊥ ab
Both ∧ BEC and ∧ BFC are right triangles
∵ m is the midpoint of BC, that is, EM and FM are the midlines on the hypotenuse of RT △ BEC and RT △ BFC
Ψ EM = 1 / 2 * CB FM = 1 / 2 * CB (the middle line on the hypotenuse of a right triangle equals half of the hypotenuse)
∴EM=FM

Given the triangle ABC, a (6,3), B (5,7), C (10,12), then the equation of the straight line with the height on the side of BC is? (there must be a process)
\(^o^)/

The slope of BC line: (12-7) / (10-5) = 1
Then the slope of the line where the height is located is - 1
Let the linear equation: y = - x + B
Substituting a (6,3) gives B = 9
So the linear equation: x + Y-9 = 0