a) x² + 4y + 4y² + 26 - 10x = ( x² - 10x + 25 ) + ( 4y² + 4y + 1 ) = ( x - 5 )² + ( 2y + 1 )²

b) 4y² + 34 - 10x + 12y + x² = ( x² - 10x + 25 ) + ( 4y² + 12y + 9 ) = ( x - 5 )² + ( 2y + 3 )²

c) -10x + y² - 8y + x² + 41 = ( x² - 10x + 25 ) + ( y² - 8y + 16 ) = ( x - 5 )² + ( y - 4 )²

d) x² + 9y² - 12y + 29 - 10x = ( x² - 10x + 25 ) + ( 9y² - 12y + 4 ) = ( x - 5 )² + ( 3y - 2 )²

a) \(x^2+4y+4y^2+26-10x\)

\(=\left(x^2-10x+25\right)+\left(4y^2+4y+1\right)\)

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

b) \(4y^2+34-10x+12y+x^2\) đề ntn à?

\(=\left(4y^2+12y+9\right)+\left(x^2-10x+25\right)\)

\(=\left(2y-3\right)^2+\left(x-5\right)^2\)

c) \(-10x+y^2-8y+x^2+41\)

\(=\left(x^2-10x+25\right)+\left(y^2-8y+16\right)\)

\(=\left(x-5\right)^2+\left(y-4\right)^2\)

d) \(x^2+9y^2-12y+29-10x\)

\(=\left(x^2-10x+25\right)+\left(9y^2-12y+4\right)\)

\(=\left(x-5\right)^2+\left(3y-2\right)^2\)

a) \(2x^2+2b^2=x^2+b^2+x^2+b^2=x^2+2xb+b^2+x^2-2xb+b^2=\left(x+b\right)^2+\left(x-b\right)^2\)

`a,-x^3/8 + 3/(4x^2) - 3/(2x) +1`

`=-(x^3/8 - 3/(4x^2) + 3/(2x) - 1)`

`=-(x/2 - 1)^3`

`b,x^6 - 3/(2x^{4} y) + 3/(4x^{2}y^{2}) - 1/(8y^{3})`

`=(x^3 - 1/(2y))^{3}`

x^2 + 4y^2 -6x + 4y +10

=x²-6x+9+4y²+4y+1

=(x-3)²+(2y+1)²

x^2-4y^2-6x+4y+10

= x^2- 2.x.3 + 9 + 4y^2-2.2y+1

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

=(3x-1)^2+(2y-2)^2-5

= ( 3x-1 )^2+(2y-2)^2-5

\(\dfrac{x^2}{4}-3x+9=\left(\dfrac{x}{2}-3\right)^2\)