Final Answer:
Here are three binomial expressions in the form of (a + b) and the squares of their expressions:
Binomial Expresssion Square of the Expression
(x + 2) (x + 2)² = x² + 4x + 4
(y - 3) (y - 3)² = y² - 6y + 9
(z + 5) (z + 5)² = z² + 10z + 25
Step-by-step explanation:
The square of a binomial expression (a + b) can be expanded using the perfect square pattern:
(a + b)² = a² + 2ab + b²
Using this pattern, we can square each of the given binomial expressions to get the corresponding expanded forms. For example, squaring the binomial expression (x + 2) gives us:
(x + 2)² = x² + 2(x)(2) + 2² = x² + 4x + 4