x^2 - y^2 + 12y - 36

= x^2 - (y^2 - 12y +36)

=x^2 - (y-6)^2

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

\(12y-9x^2+36-3x^2y\)

\(=\left(36-9x^2\right)-\left(3x^2y-12y\right)\)

\(=-9\left(x^2-4\right)-3y\left(x^2-4\right)\)

\(=\left(-3\right)\left(x-2\right)\left(x+2\right)\left(3+y\right)\)

\(12y-9x^2+36-3x^2y\)

\(=\left(12y-3x^2y\right)-\left(9x^2-36\right)\)

\(=3y\left(4-x^2\right)-9\left(x^2-4\right)\)

\(=3y\left(4-x^2\right)+9\left(4-x^2\right)\)

\(=\left(3y+9\right)\left(4-x^2\right)\)

\(=3\left(y+3\right)\left[\left(2^2\right)-x^2\right]\)

\(=3\left(y+3\right)\left(2+x\right)\left(2-x\right)\)

=(−3)(x−2)(x+2)(3+y)

\(x^4-2x^2-144x-1295=\left(x+5\right)\left(x-7\right)\left(x^2+2x+37\right)\)

1295^2 - 144 = 1677025 - 144 = 1676881 

(x+y) ^ 4 = (x+y) x (x+y) x (x+y) x (x+y) = 4(x+y) + x^4 + y^4 = 4 + 4 + 4 = 4 x 3 = 12 

144x²y²-(4x²+9y²)²

= (12xy)²-(4x²+9y²)²

= [12xy-(4x²+9y²).(12xy+4x²+9y²)

= (12xy-4x²-9y²).(12xy+4x²+9y²)

27x³ + 108x² + 114x + 64 = ( 3x )³ + 3.( 3x )².4 + 3.3x.4² + 4³ = ( 3x + 4 )³

bn chép lại đề nha 

a/ \(=a^3+1-a^2x-ax\)

\(=\left(a+1\right)\left(a^2-a+1\right)-ax\left(a+1\right)\)

\(=\left(a+1\right)\left(a^2-a+1-ax\right)\)

b/ bn có chép sai đề không? mình sửa lại dấu "-" rồi nha \(-3x^2y\)

 \(=12y+36-9x^2-3x^2y=12\left(y+3\right)-3x^2\left(y+3\right)\)

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

\(8x+12y-32x^2y^2\)

\(=4\left(2x+3y-8xy\right)\)

\(8x+12y-32x^2y^2\)

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

thế này thì đã đúng chưa?