Simplify.

(5sqrt2-1) ^2

51 - 10sqrt (2)

Step-by-step explanation:

(5sqrt2-1) ^2

We need to FOIL

(5sqrt2-1) (5sqrt2-1)

first: (5sqrt2*5sqrt2) = 25 sqrt (2) ^2 = 25 * 2 = 50

outer: - 1 (5sqrt2) = - 5sqrt (2)

inner:-1 (5sqrt2) = - 5sqrt (2)

last: - 1*-1 = 1

Add these together

50 - 5sqrt (2) - 5sqrt (2) + 1

51 - 10sqrt (2)