What is (sqrt(x)+3sqrt(y))(2sqrt(x)-sqrt(y)) ?

The solution to (sqrt(x)+3sqrt(y))(2sqrt(x)-sqrt(y)) is 2x+5sqrt(x)sqrt(y)-3y

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simplify (sqrt(x)+3sqrt(y))(2sqrt(x)-sqrt(y))

simplify

(x + 3 y) (2 x - y)

2 x + 5 x y - 3 y

Solution steps

(x + 3 y) (2 x - y)

Expand

(x + 3 y) (2 x - y) : 2 x - x y + 6 y x - 3 y

= 2 x - x y + 6 y x - 3 y

Add similar elements:

- x y + 6 x y = 5 x y

= 2 x + 5 x y - 3 y

\frac{z ^{2}}{( z + 2 i ) ^{2} \cdot ( z ^{2} + 9 )}

(5 i, - 8 j) m

\frac{( 2 \cdot k + 2 ) !}{( k + 1 ) \cdot 2 ^{k + 1}}

(5 d - 12 e) (5 d + 12 e)

(72 - 7 x) \cdot (72 + 7 x)

What is (sqrt(x)+3sqrt(y))(2sqrt(x)-sqrt(y)) ?
The solution to (sqrt(x)+3sqrt(y))(2sqrt(x)-sqrt(y)) is 2x+5sqrt(x)sqrt(y)-3y