Question

(a+ b)^2 - (a+b) -6Which method is the best method to use for the given expressiona) GCFb) DOPSc) TrinomialSeeing Structure (Substitution method)

Answer 1

c) Trinomial Seeing Structure (Substitution method)

Step-by-step explanation:

The initial expression is

(a + b)² - (a + b) - 6

So, if we replace (a+b) by x, we get:

x² - x - 6

Now, we can factorize it by finding two numbers that multiply to -6 and add to -1. These numbers are -3 and 2, so it is equal to

(x - 3)(x + 2)

Finally, we can replace x = a + b, so

(a + b - 3)(a + b + 2)

The expression x² - x - 6 looks like a trinomial. It means that the best method for the given expression is

c) Trinomial Seeing Structure (substitution method)