(x²-8)²+36=x⁴-16x²+100=x⁴+20x²+100-36x²=(x²+10)²-36x²=(x²+10-6x)(x²+10+6x)

chuan

Ta có: 

\(\left(x^2-8\right)^2+36\)

\(=x^4-16x^2+64+36\)

\(x^4=16x^2+100\)

$={}^{}-{}^{}$

$=\left({}^{}-6x+10\right)\left({}^{}-6x-10\right)$

=x4−16x2+64+36

a: \(x^2+12x+36=0\) 

=>\(x^2+2\cdot x\cdot6+6^2=0\)

=>\(\left(x+6\right)^2=0\)

=>x+6=0

=>x=-6

b: \(4x^2-4x+1=0\)

=>\(\left(2x\right)^2-2\cdot2x\cdot1+1^2=0\)

=>\(\left(2x-1\right)^2=0\)

=>2x-1=0

=>2x=1

=>x=1/2

c: \(x^3+6x^2+12x+8=0\)

=>\(x^3+3\cdot x^2\cdot2+3\cdot x\cdot2^2+2^3=0\)

=>\(\left(x+2\right)^3=0\)

=>x+2=0

=>x=-2

\(\left(x^2-8\right)^2+36\)

\(=x^4-16x^2+64+36\)

\(=x^4-16x^2+100\)

\(=x^4+20x^2+100-36x^2\)

\(=\left(x^2+10\right)^2-36x^2\)

\(=\left(x^2+10-6x\right)\left(x^2+10+6x\right)\)

( x² - 8)² + 36 = x⁴ -16x² +64 + 36

                      = (x⁴ +20x² +100) -36x²

                          =( x²+10)² -(6x)²

                          =(x² + 10 -6x)(x² +10 +6x)

\(=\left(x^2-8\right)^2-\left(-6\right)^2\)

\(=\left(x^2-8+6\right)\left(x^2-8-6\right)\)

\(=\left(x^2-2\right)\left(x^2-14\right)\)

Bài 1 :

\(x^2-6x+8=x^2-2x-4x+8=x\left(x-2\right)-4\left(x-2\right)=\left(x-4\right)\left(x-2\right)\)

Bài 2 :

 \(x^8+x^7+1=x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1-x^6-x^5-x^4-x^3-x^2-x\)

\(=x^6\left(x^2+x+1\right)+x^3\left(x^2+x+1\right)+x^2+x+1-x^4\left(x^2+x+1\right)-x\left(x^2+x+1\right)\)

=\(\left(x^2+x+1\right)\left(x^6+x^3+1-x^4-x\right)\)

Tick đúng nha 

X^2-6+8

\(-8x^3+1=1^3-\left(2x\right)^3=\left(1-2x\right)\left(1+2x+4x^2\right)\)

a. \(x^2-y^2=\left(x-y\right)\left(x+y\right)\)

b. \(x^2-6xy+9y^2-36=\left(x-3y\right)^2-6^2=\left(x-3y-6\right)\left(x-3y+6\right)\)

a: \(x^2-y^2=\left(x-y\right)\left(x+y\right)\)

b: \(x^2-6xy+9y^2-36=\left(x-3y\right)^2-6^2=\left(x-3y-6\right)\left(x-3y+6\right)\)

mình đang cần gấp hộ minh với

\(x^2-36+2xy+y^2=\left(x^2+2xy+y^2\right)-36=\left(x+y\right)^2-6^2=\left(x+y+6\right)\left(x+y-6\right)\)

\(x^4-2x^3-12x^2+12x+36=x^4+x^2+36-2x^3+12x-12x^2-x^2\)

\(=\left(x^2-x-6\right)^2-x^2=\left(x^2-6\right)\left(x^2-2x-6\right)\)