(x-1)x(x+1)(x+2)-24

(x-1)x(x+1)(x+2)-24


x(x + 1)(x - 1)(x + 2) - 24
= x(x^2 - 1)(x + 2) - 24
= x(x^3 + 2x^2 - x - 2) - 24
= x^4 + 2x^3 - x^2 - 2x - 24
= (x^4 - 2x^3) + 4x^3 - x^2 - 2x - 24
= x^3(x - 2) + 4x^3 - 8x^2 + 7x^2 - 2x - 24
= (x^3 + 4x^2)(x - 2) + (7x^2 - 14x) + (12x - 24)
= (x^3 + 4x^2 + 7x + 12)(x - 2)
= [(x^3 + 3x^2) + (x^2 + 3x) + (4x + 12)](x - 2)
= (x^2 + x + 4)(x + 3)(x - 2)



Factorization: the fifth power of 16x-x


Solution
16x-x^5
=x(16-x^4)
=x(4-x²)(4+x²)
=x(2-x)(2+x)(4+x²)



Factoring the square y of negative x plus 8xy minus 15y


-y(x'2'-8x+15)=-y(x-3)(x-5)



A simple algorithm of 0.125 + (+ 3 and 1 / 4) + (- 3 and 1 / 8) + (+ 7 / 8) + (- 0.25)


0.125 + (+ 3 and 1 / 4) + (- 3 and 1 / 8) + (+ 7 / 8) + (- 0.25)
=1/8+(-2/8)+3+1/4-3-1/8+7/8
=9/8



Specific experimental steps of measuring resistance by voltammetry


1. Connect the physical drawing according to the circuit diagram
2. Adjust the slide of sliding rheostat to a position, and record the voltage indication of ammeter, I, U
3. U / I resistance
4. Repeat step 2.3, then calculate the two resistance values and take the average value



3 / 8 = (): () = () 15 / 8 = ()%
Note that 3 divided by 8 = (): () = () 15 out of () = ()%


3 / 8 = (3): (8) = (15 / 40) = (37.5)%



How do you convert a pound to a gram?


According to the international measurement conversion standard, 1 pound = 453.6 grams



Simplified quadratic radical √ - A * a * A-A √ - 1 / A


∵ - A & # 179; ≥ 0 and - 1 / a > 0
∴a﹤0
The original formula = √ (- A & # 179;) - a √ (- 1 / a)
=√(-a)³-a×√[-a/(-a)²]
=-a√(-a)-a×[1/(-a)]×√(-a)
=-a√(-a)+√(-a)
=(1-a)√(-a)



Xiao Wang's house is decorated. He goes to the store to buy light bulbs. At the counter of the store, there are 100 watt incandescent lamps and 40 Watt energy-saving lamps. Their unit prices are 2 yuan and 32 yuan respectively. It is known that the lighting effect and service life of these two kinds of lamps are the same. It is known that the electricity price of Xiao Wang's house is 0.5 yuan per kilowatt hour. When the service life of the two kinds of lamps exceeds how long, Xiao Wang will choose Energy saving lamp is cost effective? (electricity consumption (KWH) = power (kw) × time (H)


If the service life of these two kinds of lamps is more than 1000 hours, it is worthwhile for Xiao Wang to choose energy-saving lamps



Factorization of A-Square × b-4b


Square a × b-4b
=(a²-4)×b
=(a+2)(a-2)b