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\(x^4+x^2y^2+y^4\)
\(=x^4+2x^2y^2+y^4-x^2y^2\)
\(=\left(x^2+y^2\right)^2-\left(xy\right)^2\)
\(=\left(x^2+y^2-xy\right)\left(x^2+y^2+xy\right)\)

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

x2-y2+6x+6y = (x2-y2)+(6x+6y) = (x-y)(x+y)+6(x+y) = (x-y-6)(x+y)


(2x2 - 4)2 + 9 = 4x4 - 16x2 + 25
= (4x4 + 20x2 + 25) - 36x2 = (2x2 + 5)2 - 36x2
= (2x2 - 6x + 5)(2x2 + 6x + 5)
(2x2-4)2+9
=(2x2-4)2+32
=(2x2 - 4+3)(2x2-4-3)
=(2x2 - 7)(2x2 - 1)
Tích cho mk nha!

\(5x^2-x+y-5y^2\)
\(=\left(5x^2-5y^2\right)-\left(x-y\right)\)
\(=5\left(x^2-y^2\right)-\left(x-y\right)\)
\(=5\left(x-y\right)\left(x+y\right)-\left(x-y\right)\)
\(=\left(x-y\right)\left[5\left(x+y\right)-1\right]\)
\(=\left(x-y\right)\left(5x+5y-1\right)\)

\(4\left(x+3y-4\right)^2-x^2+6x-9\)
\(=\left[2\left(x+3y-4\right)\right]^2-\left(x^2-6x+9\right)\)
\(=\left[2x+6y-8\right]^2-\left(x-3\right)^2\)
\(=\left(2x+6y-8+x-3\right)\left(2x+6y-8-x+3\right)\)
\(=\left(3x+6y-11\right)\left(x+6y-5\right)\)

\(y^2-16-8xy+16y^2\)
\(\Leftrightarrow y^2-8xy+16y^2-16\)
\(\Leftrightarrow\left(x-4y\right)^2-16\)
\(\Leftrightarrow\left(x-4y-4\right)\left(x-4y+4\right)\)
P/s tham khảo nha
\(=2xy\left(216x^3+125y^3\right)\)
\(=2xy\left(6x+5y\right)\left(36x^2-30xy+25y^2\right)\)
432x4y+250xy4
=2xy(216x3 +125y3)
=2xy((6x)3+(5y)3)
=2xy(6x+5y)(36y2 -30xy+25y2)