Question

(5√2 - 1)^2 Steps please

Answer 1

Answer:

51 - 10$\sqrt{2}$

Step-by-step explanation:

( 5$\sqrt{2}$ - 1)² = (5$\sqrt{2}$ - 1)(5$\sqrt{2}$ - 1)

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

5$\sqrt{2}$(5$\sqrt{2}$ - 1 ) - 1(5$\sqrt{2}$ - 1 )

Distribute both parenthesis, noting that $\sqrt{2}$ × $\sqrt{2}$ = 2

= 50 - 5$\sqrt{2}$ - 5$\sqrt{2}$ + 1 ← collect like terms

= 51 - 10$\sqrt{2}$