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

The solution to (5sqrt(x)+3sqrt(y))(2sqrt(x)-sqrt(y)) is 10x+sqrt(x)sqrt(y)-3y

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simplify (5sqrt(x)+3sqrt(y))(2sqrt(x)-sqrt(y))

simplify

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

10 x + x y - 3 y

Solution steps

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

Expand

(5 x + 3 y) (2 x - y) : 10 x - 5 x y + 6 y x - 3 y

= 10 x - 5 x y + 6 y x - 3 y

Add similar elements:

- 5 x y + 6 x y = x y

= 10 x + x y - 3 y

\frac{d}{d t} ((x) (2 cos (t) + 2))

\frac{1}{( s + 3 ) ^{3} ( s + 1 ) ( s + 2 )}

(t + \frac{1}{t})^{2}

(\frac{3}{s} - 1) (\frac{3}{s} + 1)

cos (4) (u^{3} + v^{3})

What is (5sqrt(x)+3sqrt(y))(2sqrt(x)-sqrt(y)) ?
The solution to (5sqrt(x)+3sqrt(y))(2sqrt(x)-sqrt(y)) is 10x+sqrt(x)sqrt(y)-3y