Question

Find the two products below. Compare and contrast, in complete sentences, the similarities and differences of the two.

(x + 6)(x − 6) and (x − 6)(x − 6)

Answer 1

(a-b)(a+b) = a^2 - b^2

Answer 2

\[(a -b)(a+b) = a^2 - b^2\]

\[(a-b)(a-b) = (a-b)^2\]

Use them..

Answer 3

\[(a-b)(a-b) = (a-b)^2 = a^2 + b^2 - 2ab\]

Answer 4

[x+6][x-6] is a difference between squares
[x-6][x-6] will produce a perfect trinomial square when multiplied. this means it has double roots.
[x-6][x-6]=[x-6]^2= double roots