It is expressed in the form of power: [(X-Y) square · (Y-X) third power

It is expressed in the form of power: [(X-Y) square · (Y-X) third power

The original formula = (X-Y) to the fourth power * [(X-Y) to the third power]
=-The seventh power of (X-Y)

Expressed in the form of power: [(X-Y) cubic] quadratic · [(Y-X) cubic] quadratic

[(X-Y) cubic] quadratic · [(Y-X) cubic] quadratic
=（x-y）^6 *（y-x）^6
=（x-y）^6 *（x-y）^6
=（x-y）^12

3.82 times 9.9 plus 0.382

3.82 times 9.9 plus 0.382
=3.82×9.9+3.82×0.1
=3.82×（9.9+0.1）
=3.82×10
=38.2

It is known that m [4,2] is the midpoint of the line segment AB cut by the ellipse [x + 4Y = 36], and the equation for solving the line L is obtained
This line segment must pass through point M. let y = KX + 2-4k
Let a (x1, Y1) B (X2, Y2) be connected with the elliptic equation
The expression containing K of X1 + x2 can be obtained
Because m is the midpoint of AB (x1 + x2) / 2 = 4
The solution is k = - 1 / 2
So the equation is 2Y + X-8 = 0
What is an expression with k?

Substituting y = KX + 2-4k into x ^ 2 + 4Y ^ 2 = 36, we get x ^ 2 + 4 (KX + 2-4k) ^ 2 = 36, so (4K ^ 2 + 1) x ^ 2 + (16k-32k ^ 2) x + 64K ^ 2-32k-20 = 0, so X1 + x2 = (32K ^ 2-16k) / (4K ^ 2 + 1), and because m is the midpoint of line AB, so X1 + x2 = 4 * 2 = 8, so (32K ^ 2-16k) / (4K ^ 2 + 1) = 8, we get k = - 1 / 2

(6 + 3x) △ 2 + = 18 solution equation

（6+3x）÷2=18
6+3x=18×2
3x=36-6
x=30÷3
x=10

Find the number of different real number roots of the equation | x square + 2x-3 | = a (a belongs to R) about X

Let f (x) = x ^ 2 + 2x-3 = (x + 1) ^ 2-4 = (x-1) (x + 3)
Then a = | f (x)|
|The image of F (x) | is the part (- 3) of the lower half plane of the parabola f (x)=

Simple calculation of 6.54 × 8 + 4.55 △ 0.125

6.54×8+4.55÷0.125
=6.54×8+4.55×8
=（6.54+4.55）×8
=11.09×8
=88.72

Find a point on the ellipse x ^ 2 + 4Y ^ 2 = 4 and make it the shortest distance to the straight line 2x + 3y-6 = 0

Translate the line 2x + 3y-6 = 0 so that it is tangent to the ellipse. After translation, the linear equation is 2x + 3y-a = 0, and the simultaneous equations x ^ 2 + 4Y ^ 2 = 4 and 2x + 3y-a = 0. Because of the tangency, that is, the equation system has a unique solution, the solution can be a = 5, and the tangent point is (1.6,0.6), that is, the point is the shortest distance from the line 2x + 3y-6 = 0, and the distance is 1

99 multiplication formula - 99 multiplication formula
Everyone knows the former. I want the formula of multiplication from 99 to 99, or the simplest formula
99*1→99*99
9x9 we do not need to say, there is no 10 digit multiplication formula or a good calculation method. I want to teach more children after learning

"Small nine nine" is the corresponding expression of "one by one, one by two, two by two, four..." 1×1=1 1×2=2 2×2=4 1×3=3 2×3=6 3×3=9 1×4=4 2×4=8 3×4=12 4×4=16 1×5=5 2×5=10 3×5=15 4×5=20 5×5=25 1×6=6 2×6=12 3×6=18 4...

Expand function (arctanx ^ 2) / x into power series of X

y=arctanx
Derivation y '= 1 / (1 + x ^ 2) = 1-x ^ 2 + x ^ 4-x ^ 6 +
Integral reduction: y = x-x ^ 3 / 3 + x ^ 5 / 5-x ^ 7 / 7 +
Therefore, there are:
arctanx^2=x^2-x^6/3+x^10/5-x^14/7+.
(arctanx^2)/x=x-x^5/3+x^9/5-x^13/7+.-(-1)^nx^(4n-3)/(2n-1)+..