Factorization 24x ^ 2Y ^ 3Z ^ 4 (a-b) ^ 2-20x ^ 3Y ^ 2Z ^ 3 (a-b) ^ 2 + 8x ^ 5Y ^ 4Z ^ 5 (a-b) ^ 2 In the end, it can only be simplified with parentheses

Factorization 24x ^ 2Y ^ 3Z ^ 4 (a-b) ^ 2-20x ^ 3Y ^ 2Z ^ 3 (a-b) ^ 2 + 8x ^ 5Y ^ 4Z ^ 5 (a-b) ^ 2 In the end, it can only be simplified with parentheses

The original formula is 4x ^ 2Y ^ 2Z ^ 3 (a -- B) ^ 2 (6yz -- 5x + 2x ^ 3Y ^ 2Z ^ 2)

If XYZ are all positive integers, the maximum value of (XY + YZ) / [(x ^ 2) + (y ^ 2) + (Z ^ 2)] is

(x^2)+(y^2)+(z^2)
= x^2 + 1/2y^2 + 1/2y^2 + z^2
≥ 2√(1/2)xy + 2√(1/2)yz
=√2 (xy+yz)
So (XY + YZ) / [(x ^ 2) + (y ^ 2) + (Z ^ 2)] ≤ 2 / 2
The maximum value is √ 2 / 2
When √ 2x = y = √ 2Z
(Note: here x, y, Z should be positive numbers, not positive integers, otherwise the maximum value √ 2 / 2 cannot be obtained, but it can be infinitely close)

The reciprocal sum of three prime numbers is 3111001. Then, the sum of the three prime numbers is ()
A. 311B. 31C. 29D. 35

1001 = 7 × 11 × 13, 7 + 11 + 13 = 31

The reciprocal sum of three prime numbers is 3111001. Then, the sum of the three prime numbers is ()
A. 311B. 31C. 29D. 35

1001 = 7 × 11 × 13, 7 + 11 + 13 = 31

How does sliding rheostat work?
come

The resistance of a uniform material is proportional to its length

When will resonance occur in series or parallel circuits with inductors, capacitors and resistors?

In fact, the problem of resonance is very simple. You can have such an experience: you jump on a big board. If you want to jump high, you have to rely on the elasticity of the board. How can you borrow the elasticity of the board? You have to jump according to the motion frequency of the board. It's the same with playing a swing. You have to depend on the length of hadron, It includes your weight. Only when you find the motion law of the swing rope can you swing. The resonance condition of inductance and capacitance, that is, LC circuit, is the same as that of wooden board and swing rope. The specific condition is that when the series impedance of LC in series circuit is the minimum, and when the impedance of LC in parallel circuit is the maximum, The reactance component of the impedance is gone, and it is a pure resistance state. The resonant frequency is equal to 1 / 2 π times LC under the root sign

English translation
His parents often discuss our work_____ He is very good in the play_____ in the play.

1.talk about
2.performed/did well

English translation
giraffe eagle hippo
Please translate

Giraffes, eagles, hippos

Given that the modulus of the vector OA = 3, the modulus of the vector ob = 4 OA ⊥ ob, the vector OP = (1-T) the vector OA + T, the vector OB and op ⊥ AB, then the value of the real number T is?

|OA|=3|OB|=4 OA.OB=0OP= (1-t)OA+ tOBSolutionOP.AB=0OP (OB-OA)=0 OP.OB - OP.OA =0((1-t)OA+tOB).OB- ((1-t)OA+tOB).OA=0t|OB|^2-(1-t)|OA|^2 =0t|OB|^2-9(1-t)|OB|^2 =0t-9(1-t)=010t=9t=9/10

For a two digit number, one digit is the smallest prime number, and ten digits is the smallest composite number. What is the number

For a two digit number, one digit is the smallest prime number, and ten digits is the smallest composite number. This number is 42