Question

Simplify (x + 2)(x + 6) using grouping, and write the resulting expression in standard form.

Answer 1

For this case we must simplify the following expression:

`(x + 2) (x + 6)`

Applying distributive property we have:

`(a + b) (c + d) = ac + ad + bc + bd`

`x ^ 2 + 6x + 2x + 12`

By grouping similar terms we have:

`x ^ 2 + 8x + 12`

So, we have to:

`(x + 2) (x + 6) = x ^ 2 + 8x + 12`

Answer:

`x ^ 2 + 8x + 12`