The simplified form of the given expression is equivalent to [tex]x^2 + 2ax + a^2 + 5a + 5x + 4[/tex]
The given expression;
[tex](x + a)^2 + 5(x + a) + 4[/tex]
The above expression can be simplified further to obtain its equivalent form as shown below;
First, simplify: [tex](x + a)^2[/tex]
[tex](x + a)^2 = x^2 + 2ax + a^2[/tex]
Second, simplify: [tex]5(x + a)[/tex]
[tex]5(x + a) = 5x + 5a[/tex]
Third, add similar terms together;
[tex](x+ a)^2 + 5(x + a) + 4 = x^2 + 2ax + a^2 + 5a + 5x + 4[/tex]
Thus, the simplified form of the given expression is equivalent to [tex]x^2 + 2ax + a^2 + 5a + 5x + 4[/tex]
Learn more here: https://brainly.com/question/17633314
