The third power of 3x - the square of 3x y + 8y-8x

The third power of 3x - the square of 3x y + 8y-8x

3x^3-3xy^2+8y-8x
=3x(x^2-y^2)-8(x-y)
=3xy(x-y)(x+y)-8(x-y)
=(x-y)[3xy(x+y)-8]
=(x-y)(3x^2+3xy^2-8)

It is known that a factor 3x-2qiu which can decompose the formula 3x to the third power + 4x to the square + 11x + M can find M
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A factor 3x-2 of energy decomposition of 3x ^ 3 + 4x ^ 2 + 11x + M
3x^3+4x^2+11x+m
=(3x^3-2x^2)+(6x^2+11x+m)
=x^2(3x-2)+(3x-2)(2x-m/2)
=(3x-2)(x^2+2x-m/2)
here
m=-10

2 / 3 power of x = 11x =?
How do I calculate? The answer is 1 / 121. The answer is to square 11 to the third power. I almost forgot Solution. embarrassed

The 2 / 3 power of x = 11 equals the square of X, and the third power of x = 11 equals the square of 11 = the third power of X
So the answer is to square 11 to the third power

How to solve the quadratic equation of 1 / 64x ^ 4 + 5 / 4x ^ 2-1 = 0?

First, transform it into integral coefficient equation, and then see which is easier to use cross phase multiplication, collocation method or formula method
x^4/64+5x^2/4-1=0
x^4+80x^2-64=0
x^4+80x^2+1600=1664
(x^2+40)^2=1664
X ^ 2 = 40 + 8 √ 26 or x ^ 2 = 40-8 √ 26（

Ohm's law resistance (2)
The stage lighting needs to change according to the brightness of the scene. Please design a circuit to solve this problem (draw the corresponding circuit diagram)

1. Components: power supply, switch, bulb, sliding rheostat, connected in series
Reason: sliding rheostat connected in series with bulb can change its brightness

Help me solve a factoring problem
Factorize the following formulas in the range of real numbers:
（1）x^2-7 (2)2x^2-3

(1) The original formula = (x + radical 7) × (x-radical 7)
(2) Original formula = 2 × (x + radical 3 / 2) (x - radical 3 / 2) = 2 × (x + Half radical 6) (x - half radical 6)

1. Aunt Zhang deposited 100000 yuan into the bank on December 1, 2012, with a fixed term of 2 years. She can get 104800 yuan of principal and interest when she matures. Ask Aunt Zhang about the interest rate when she deposits ()
2. Fill in a number in () so that the result of the following formula is a non-zero natural number, and the minimum number is ()
() × 9 / 14 () △ 7 / 30

1.2.37%
two point four two

A truck and a motorcycle leave from a and B at the same time. The two vehicles meet for the first time at a distance of 60 km from a on the way. Then the two vehicles continue to move forward. When the truck arrives at B and the motorcycle arrives at a, they both return immediately. The two vehicles meet for the second time at a distance of 30 km from B on the way. What is the distance between a and B?

The total distance taken by two cars when they meet twice is three times that of a and B. suppose the total distance is x, then the equation is: (x + 30) + (X-60) × 3 = 3x4x-150 = 3x, x = 150; a: the distance between a and B is 150 km

Mathematical Olympiad formula

The following flow velocity of water flow problem = still water velocity + current velocity counter current velocity = still water velocity - current velocity still water velocity = (along current velocity + counter current velocity) △ 2 water velocity = (along current velocity - counter current velocity) △ 2 formula of concentration problem weight of solute + weight of solvent = weight of solution

How to calculate the frequency in the frequency histogram

Frequency = frequency / sample size