Question

Express
as a trinomial.
(2x + 2)(x + 2)

Answer 1

That would equal to 4 (2x + 2)(x + 2) = 4

Answer 2

Answer:

$\displaystyle (2x+2)(x+2) = 2x^2 + 6x + 4$

Step-by-step explanation:

We want to express the expression:

$\displaystyle (2x + 2)(x+2)$

As a trinomial.

To do so, we can expand:

$\displaystyle \begin{aligned} (2x+2)(x+2) &= x(2x+2) + 2(2x+2) \\ \\ &= (2x^2 + 2x) + (4x + 4) \\ \\ &= 2x^2 + 6x + 4\end{aligned}$

In conclusion, the given expression as a trinomial is:

$\displaystyle (2x+2)(x+2) = 2x^2 + 6x + 4$