Step-by-step explanation:
[tex] = 2(x - 5) ^{2} + 4(x - 5) + 1[/tex]
Now for the first term use the formula :
[tex] {a}^{2} - 2ab + {b}^{2} [/tex]
[tex] = 2( {x}^{2} - 10x + 25) + 4(x - 5) + 1[/tex]
[tex] = 2 {x}^{2} - 20x + 50 + 4x - 20 + 1[/tex]
[tex] = 2 {x}^{2} - 20x + 4x + 50 - 20 + 1[/tex]
[tex] = 2 {x}^{2} - 16x + 31[/tex]
