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.

Question

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.

nenadmatematika · Answer

(4a+3b)(4a-3b)=16a^2-9b^2 which is not the same as 16a^2+9b^2

anonymous · Answer

what is this "complete sentence" motif?  ask you teacher to explain in complete sentence how he or she walks up a flight of stairs