[8.07] Part 1: Alex factored 32a2 + 18b2 using the following steps.

32a2 + 18b2 = 2(16a2 + 9b2)
= 2(4a + 3b)(4a − 3b)

Determine whether Alex factored this binomial correctly. If not, use complete sentences to explain what he did wrong and how he could check his factors for accuracy in the future.

Part 2: Create a unique binomial that contains a GCF and a difference of two squares. Factor your binomial completely, showing all steps.

Question

[8.07] Part 1: Alex factored 32a2 + 18b2 using the following steps.

32a2 + 18b2 = 2(16a2 + 9b2)
                   = 2(4a + 3b)(4a − 3b)

Determine whether Alex factored this binomial correctly. If not, use complete sentences to explain what he did wrong and how he could check his factors for accuracy in the future.

Part 2: Create a unique binomial that contains a GCF and a difference of two squares. Factor your binomial completely, showing all steps.