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a) x² + 4x + 4 = x² + 2(2)x + 2² = (x+2)²
b) 9x² - 6x + 1 = (3x)² - 2(3)x + 1² = (x-1)²
c) 25x^{7} + 70x^{6} + 49x^{5} = (5x^{7/2})² + 2(5x^{7/2})(7x^{5/2}) + (7x^{5/2})²
= (5x^{7/2} + 7x^{5/2})²
d) 36x²- 60xy + 25y² = (6x)² - 2(6x)(5y) + (5y)² = (6x - 5y)²