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bill wants to factor x2 + 8x + 16 by grouping; however, sara 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

To explain this specific problem, first, x² + 8x + 16 is a perfect square trinomial. 

If you have an idea in completing the square, then you’d be able to know how to make a perfect square based on the equation x² + bx  by getting the half of b then squaring the answer, and then adding it.

With regards to this, half of 8 is 4 and 16 when it’s squared, which is what we got. Since this a perfect square trinomial, we can factor this by getting the half of b and we can get (x + 4)².

i just took the test, the correct answer is .. 31.5 in.