Final answer:
To factor the expression '62 + 72', we recognize that each term is twice the numbers 31 and 36, respectively, allowing us to factor out the common factor of 2 to get '2(31 + 36)'.
Step-by-step explanation:
The expression given is 62 + 72 and needs to be factored into a form where the blank is filled with (31 + 36). This problem involves recognizing that 62 is twice 31, and 72 is twice 36, which means we can factor out the common factor of 2:
62 + 72 = 2×31 + 2×36 = 2(31 + 36)
Thus, the expression factors to 2(31 + 36).