Question

simplify the following expression by combining like terms:
a + 6 + 3a + 5a² + 2a + a² + 1
?a² + □a + □

Explanation:

Step1: Identify like terms

Like terms for \(a^2\): \(5a^2\) and \(a^2\); for \(a\): \(a\), \(3a\), \(2a\); for constants: \(6\) and \(1\).

Step2: Combine \(a^2\) terms

\(5a^2 + a^2 = (5 + 1)a^2 = 6a^2\)

Step3: Combine \(a\) terms

\(a + 3a + 2a = (1 + 3 + 2)a = 6a\)

Step4: Combine constant terms

\(6 + 1 = 7\)

Answer:

\(6a^2 + 6a + 7\)