Respuesta :

Answer:

51 - 10[tex]\sqrt{2}[/tex]

Step-by-step explanation:

( 5[tex]\sqrt{2}[/tex] - 1)² = (5[tex]\sqrt{2}[/tex] - 1)(5[tex]\sqrt{2}[/tex] - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

5[tex]\sqrt{2}[/tex](5[tex]\sqrt{2}[/tex] - 1 ) - 1(5[tex]\sqrt{2}[/tex] - 1 )

Distribute both parenthesis, noting that [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2

= 50 - 5[tex]\sqrt{2}[/tex] - 5[tex]\sqrt{2}[/tex] + 1 ← collect like terms

= 51 - 10[tex]\sqrt{2}[/tex]

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