What is (sqrt(2)+2sqrt(a))*(sqrt(2)-2sqrt(a)) ?

The solution to (sqrt(2)+2sqrt(a))*(sqrt(2)-2sqrt(a)) is 2-4a

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simplify (sqrt(2)+2sqrt(a))*(sqrt(2)-2sqrt(a))

simplify

(2 + 2 a) \cdot (2 - 2 a)

2 - 4 a

Solution steps

(2 + 2 a) (2 - 2 a)

Apply Difference of Two Squares

(2 + 2 a) (2 - 2 a) : 2 - 4 a

= 2 - 4 a

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What is (sqrt(2)+2sqrt(a))*(sqrt(2)-2sqrt(a)) ?
The solution to (sqrt(2)+2sqrt(a))*(sqrt(2)-2sqrt(a)) is 2-4a