Simplify (x - square root 7) ^2

x^2 + - 2 sqrt (7) x + 7

Step-by-step explanation:

Expand the following:

(x - sqrt (7)) ^2

(x - sqrt (7)) (x - sqrt (7)) = (x) (x) + (x) (-sqrt (7)) + (-sqrt (7)) (x) + (-sqrt (7)) (-sqrt (7)):

x x - sqrt (7) x - sqrt (7) x - (-sqrt (7) sqrt (7))

(-1) ^2 = 1:

x x - sqrt (7) x - sqrt (7) x + (sqrt (7)) ^2

x x = x^2:

x^2 - sqrt (7) x - sqrt (7) x + sqrt (7) ^2

Cancel exponents. (sqrt (7)) ^2 = 7:

x^2 - sqrt (7) x - sqrt (7) x + 7

Combining like terms, sqrt (7) x (-1) + sqrt (7) x (-1) = - 2 sqrt (7) x:

Answer: x^2 + - 2 sqrt (7) x + 7