Decompose the following factors: A ^ 2 + A + 1 / 4 16A ^ 2-8ab + B ^ 2 A ^ 4-2a ^ 2B ^ 3 + B ^ 6 4(x+y)^2-12(x+y)+9 x^2-2x(y-z)+(z-y)^2 a^4-2a^2b^2+b^4

Decompose the following factors: A ^ 2 + A + 1 / 4 16A ^ 2-8ab + B ^ 2 A ^ 4-2a ^ 2B ^ 3 + B ^ 6 4(x+y)^2-12(x+y)+9 x^2-2x(y-z)+(z-y)^2 a^4-2a^2b^2+b^4

1、
a^2+a+1/4=(a+1/2)^2
2、
16a^2-8ab+b^2=(4x-1)^2
3、
a^4-2a^2b^3+b^6
=(a^2-b^3)^2
4、
4(x+y)^2-12(x+y)+9
=[2(x+y)-3]^2
=(2x+2y-3)^2
5、
x^2-2x(y-z)+(z-y)^2
=[x-(y-z)]^2
=(x-y+z)^2
6、
a^4-2a^2b^2+b^4
=(a^2-b^2)^2
=(a+b)^2(a-b)^2

Elden Ring Premiere

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