How do you simplify $(sqrt10-5)(sqrt10+2)$ ?

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Answer 1 · 2018-07-24T10:44:49

$-3sqrt10$

$"note that "sqrtaxxsqrta=a$

$"Expanding the factors using FOIL"$

$=(sqrt10)^2+2sqrt10-5sqrt10-10$

$=cancel(10)-3sqrt10cancel(-10)=-3sqrt10$

How do you simplify (sqrt10-5)(sqrt10+2)(sqrt10-5)(sqrt10+2)?