What is (2sqrt(b)-sqrt(a))(sqrt(b)+3sqrt(a)) ?

The solution to (2sqrt(b)-sqrt(a))(sqrt(b)+3sqrt(a)) is 2b+5sqrt(b)sqrt(a)-3a

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simplify (2sqrt(b)-sqrt(a))(sqrt(b)+3sqrt(a))

simplify

(2 b - a) (b + 3 a)

2 b + 5 b a - 3 a

Solution steps

(2 b - a) (b + 3 a)

Expand

(2 b - a) (b + 3 a) : 2 b + 6 b a - a b - 3 a

= 2 b + 6 b a - a b - 3 a

Add similar elements:

6 b a - b a = 5 b a

= 2 b + 5 b a - 3 a

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(e^{2 x} 0.2 sin (4 x) + cos (4 x) \cdot 4 e^{2 x})^{2}

\frac{2 x}{2 x}

(3 sin (20 π t) + 2 sin (30 π t)) \cdot sin (100 π t)

What is (2sqrt(b)-sqrt(a))(sqrt(b)+3sqrt(a)) ?
The solution to (2sqrt(b)-sqrt(a))(sqrt(b)+3sqrt(a)) is 2b+5sqrt(b)sqrt(a)-3a