Factoring theorem and rotational symmetry, super high score !!!!!!!!!!!!!!!!!!!!!!

1.When x=2, the original formula = 0, which is the factoring theorem.

2.This is based on the number of times, and the basic formula of the 3-digit rotation is as follows:

x+y+z xy+yz+xz xyz x 2+y 2+z 2 (x+y)(y+z)(x+z) See also.

-m+1/4m^2=(1-1/2m
x^2+20xy+25y^2=(2x+5y)^23、(x^2+4）^2-16x^2=(x^2+4+4x)(x^2+4-4x)=(x+2)^2(x-2)^2

4、x^4-2x^2+1=(x^2-1)^2=(x+1)^2(x-1)^2

Factorization calculations:

m^2-4n^2+4n-1=m^2-(4n^2-4n+1)=m^2-(2n-1)^2=(m+2n-1)(m-2n+1)

The first to the second formula is a perfect square formula, and the second to third formulas use the square difference formula.

Pure hand-played

1、-6x²+12x-6

6(x²-2x+1)

6(x-1)²

2、a²(a-b)+2ab(a-b)+b²(a-b)=(a-b)(a²+2ab+b²)

a-b)(a+b)²

3、x^4-16

x²+4)(x²-4)

x²+4)(x+4)(x-4)

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x to the 2n power - 4x to the n power - 12

x^n-6）（x^n+2）

2x of 2 times - 3x-20

2x+5)(x-4)

2 (x+1) squared + 7 (x+1) + 3

x+1+3)(2x+2+1)

x+4)(2x+3)

2 (x-y) squared + 5 (x-y) -3

2x-2y-1)(x-y+3)

16(x+2y) squared -31(x+2y)-2=(16x+32y+1)(x+2y-2).