Factor completely, then place the factors in the proper location on the grid. 2a2 + 2b2 - 5ab

For this case we have the following expression:
 [tex] 2a ^ 2 + 2b ^ 2 - 5ab [/tex] 
 Rewriting the expression we have:
 [tex] 2a ^ 2 - 5ab + 2b ^ 2[/tex] 
 From here, we factor the expression completely.
 We have then:
 [tex] (2a - b) (a - 2b) [/tex] 
 Let's check the factorization.
 To do this, we multiply the terms within the parenthesis.
 We have then:
 [tex] 2a ^ 2 - 4ab - ab + 2b ^ 2 [/tex]
 Rewriting:
 [tex] 2a ^ 2 - 5ab + 2b ^ 2[/tex] 
 Therefore, the factorization is correct.
 Answer:
 [tex] (2a - b) (a - 2b) [/tex]