Question

Kathy wants to factor x^2-12x+36 by grouping; however, Tom says it is a special product and can factor a different way. Using complete sentences, explain and demonstrate how both methods will result in the same factors.

Answer 1

To factor by grouping, rewrite it as:
x^2-12x+36 = x^2 - 6x - 6x + 26
Now you can factor.

Alternative way:
Compare x^2 - 6x + 36 to: (a - b)^2 = a^2 - 2ab + b^2
and you will recognize it is a special factor.

Answer 2

Thank you :)

Answer 3

you are welcome.