Answer:
see explanation
Step-by-step explanation:
using the following expansions
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
1
x² - 12x + 36
with a = x and b = 6 , then
x² - 12x + 36 = x² - 2(x)(6) + 6² = (x - 6)²
2
x² + 22x + 121
with a = x and b = 11 , then
x² + 22x + 121 = x² + 2(x)(11) + 11² = (x + 11)²
3
x² - 8xy + 16y²
with a = x and b = 4y , then
x² - 8xy + 16y² = x² - 2(x)(4y) + 16y² = (x - 4y)²
4
25x² - 10xy + y²
with a = 5x and b = y , then
25x² - 10xy + y² = 25x² - 2(5x)(y) + y² = (5x - y)²
