Bài 1
a) x² - 4x + 4
= (x - 2)²
b) x² - 6x + 9
= (x - 3)²
c) x² - 10x + 25
= (x - 5)²
Bài 2
a) 4x² - 12x + 9
= (2x - 3)²
b) 25x² - 20x + 4
= (5x - 2)²
c) 1/9 x² - 10/3 x + 25
= (x/3 - 5)²
Bài 3
a) 4x² - 12xy + 9y²
= (2x - 3y)²
b) 9x² - 30xy + 25y²
= (3x - 5y)²
c) 1/4 y² - 1/3 xy + 1/9 x²
= (y/2 - x/3)²
Bài 4
a) y² + 8y + 16
= (y + 4)²
b) y² + 12y + 36
= (y + 6)²
c) y² - 4y + 4
= (y - 2)²
Bài 5
a) 9y² + 6y + 1
= (3y + 1)²
b) 4y² + 28y + 48
= 4(y² + 7y + 12)
= 4(y² + 3y + 4y + 12)
= 4[(y² + 3y) + (4y + 12)]
= 4.[y(y + 3) + 4(y + 3)]
= 4(y + 3)(y + 4)
c) 9y² + 48y + 64
= (3y + 8)²