(i) 9x² + 6xy + y² = (3x)² + 2(3x)(y) + (y)² = (3x + y)²(ii) 4y² - 4y + 1 = (2y)² - 2(2y)(1) + 1² = (2y - 1)²(iii) x² - y²/100 = (x)² - (y/10)² = (x - y/10)(x + y/10)