Question

expand and simplify \\((t + 4)(t + 5)\\)

Explanation:

Apply the distributive property

$$ (t + 4)(t + 5) = t(t + 5) + 4(t + 5) $$

Expand the terms

$$ t(t + 5) + 4(t + 5) = t^2 + 5t + 4t + 20 $$

Combine like terms

$$ t^2 + (5 + 4)t + 20 = t^2 + 9t + 20 $$

Answer:

\(t^2 + 9t + 20\)