What is (2sqrt(p)+sqrt(q))(2sqrt(p)-sqrt(q)) ?

The solution to (2sqrt(p)+sqrt(q))(2sqrt(p)-sqrt(q)) is 4p-q

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simplify (2sqrt(p)+sqrt(q))(2sqrt(p)-sqrt(q))

simplify

(2 p + q) (2 p - q)

4 p - q

Solution steps

(2 p + q) (2 p - q)

Apply Difference of Two Squares

(2 p + q) (2 p - q) : 4 p - q

= 4 p - q

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What is (2sqrt(p)+sqrt(q))(2sqrt(p)-sqrt(q)) ?
The solution to (2sqrt(p)+sqrt(q))(2sqrt(p)-sqrt(q)) is 4p-q