Question

(5√2 - 1)^2
Steps please

Answer 1

51 - 10
`√(2)`

Explanation:

( 5
`√(2)` - 1)² = (5
`√(2)` - 1)(5
`√(2)` - 1)

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

5
`√(2)`(5
`√(2)` - 1 ) - 1(5
`√(2)` - 1 )

Distribute both parenthesis, noting that
`√(2)` ×
`√(2)` = 2

= 50 - 5
`√(2)` - 5
`√(2)` + 1 ← collect like terms

= 51 - 10
`√(2)`