Question

part a
simplify \\((x + 2)(x + 6)\\) using grouping, and write the resulting expression in standard form.

Explanation:

⚡ Using what you learned: multiplying polynomials

Step 1: Distribute by grouping

$$ x(x + 6) + 2(x + 6) $$

Step 2: Expand terms

$$ x^2 + 6x + 2x + 12 $$

Step 3: Combine like terms

$$ x^2 + 8x + 12 $$

Answer:

$$ x^2 + 8x + 12 $$