How to simplify 4x ^ 3-2x ^ 2 + X to X (4x ^ 2-2x + 1)? Formula and calculation steps

How to simplify 4x ^ 3-2x ^ 2 + X to X (4x ^ 2-2x + 1)? Formula and calculation steps

This step is to extract the common factor, the principle of which is equivalent to the law of multiplicative distribution
4x³-2x²+x
= 4x² · x - 2x · x + 1 · x
= x（4x²-2x+1）

Solution of x ^ 2 + X-6 = 0 formula

Solution of x ^ 2 + X-6 = 0 formula
a=1,b=1,c=-6
b^2-4ac=1+4*6=25
X1 = (- B + radical (b ^ 2-4ac)) / 2A = (- 1 + 5) / 2 = 2
x2=(-1-5)/2=-3

1 / [x (x + 1)] = 1 / X-1 / (x + 1) how is it calculated? Is there any formula? Please help me to solve it

The denominator of 1 / x [x + 1] consists of X and X + 1
Let the original formula = A / x + B / (x + 1) = [(a + b) x + a] / x [x + 1]
So obviously a + B = 0, a = 1
So B = - 1
Let the original formula = 1 / x + (- 1) / (x + 1) = 1 / X-1 / (x + 1)

How about 400 / x = 480 / x-20 * 1.6

80/x=32;
x=80/32;
x=5/2;
If you don't understand this question, you can ask,

480 yuan 4,6 cent account how to calculate, list a set of formula good

480*0.4=192
480*0.6=288
Total amount * 0.4
Total amount * 0.6

Use the formula to calculate; (a + 1) ^ 2 - (A-1) ^ 2,
(2+1)(2^2+1)(2^4+1)(2^8+1)

(a+1)^2-(a-1)^2,=(a+1+a-1)(a+1-a+1)=2a×2=4a(2+1)(2^2+1)(2^4+1)(2^8+1)=（2-1）(2+1)(2^2+1)(2^4+1)(2^8+1)=(2^2-1)(2^2+1)(2^4+1)(2^8+1)=(2^4-1)(2^4+1)(2^8+1)=(2^8-1)(2^8+1)=2^16-1=65535

5 (x + 1.5) = 17.5 how to calculate? Write out the formula and the meaning of each step in words

Divide both sides by 5 to get x + 1.5 = 17.5 / 5 = 3.5
Subtract 1.5 from both sides to get x = 2

In class, the teacher directly writes x ^ 3 = (1 + x) (x ^ 2-x + 1) - 1 in the process of calculation. Is there a formula? How
In class, the teacher directly writes x ^ 3 = (1 + x) (x ^ 2-x + 1) - 1 in the process of calculation. Is there a formula? How to write it directly? What is the extended knowledge about (a + b) ^ n? Can any brother help summarize it?

It's a distortion of the cubic sum formula,
Cubic sum a & # 179; + B & # 179; = (a + b) (A & # 178; - AB + B & # 178;)
Cubic difference a & # 179; - B & # 179; = (a-b) (A & # 178; + AB + B & # 178;)

Square of X - (2m + 1) x + M = 0 use formula method to solve the process, thank you!

The solution equation: X (X-2) + X-2 = 0

x（x-2）+x-2=0，（x-2）（x+1）=0，x-2=0，x+1=0，∴x1=2，x2=-1．