Simplify. Remember to use absolute-value notation when necessary. If a root cannot be simplified, state this.
�ã(a+3)^2
(a+3)^2 = a^2 + 6a + 9.
To simplify the expression (a+3)^2, use the concept of squaring a binomial.
When you square a binomial, you multiply it by itself. In this case, the binomial is (a+3). So, we can rewrite it as:
(a+3)^2 = (a+3)(a+3)
To simplify further, we need to multiply each term in the first bracket (a+3) by each term in the second bracket (a+3). Applying the distributive property, we get:
(a+3)(a+3) = a(a+3) + 3(a+3)
Expanding further:
= a(a) + a(3) + 3(a) + 3(3)
= a^2 + 3a + 3a + 9
Now, combine like terms:
= a^2 + 6a + 9
Therefore, the simplified expression is a^2 + 6a + 9.