What is (5sqrt(xy)-3)-(2-4sqrt(xy)) ?

The solution to (5sqrt(xy)-3)-(2-4sqrt(xy)) is 9sqrt(xy)-5

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simplify (5sqrt(xy)-3)-(2-4sqrt(xy))

simplify

(5 x y - 3) - (2 - 4 x y)

9 x y - 5

Solution steps

(5 x y - 3) - (2 - 4 x y)

Apply rule:

(a) = a

(5 x y - 3) = 5 x y - 3

= 5 x y - 3 - (2 - 4 x y)

Apply the distributive law:

- (a - b) = - a + b

- (2 - 4 x y) = - 2 + 4 x y

= 5 x y - 3 - 2 + 4 x y

Group like terms

= 5 x y + 4 x y - 3 - 2

Add similar elements:

5 x y + 4 x y = 9 x y

= 9 x y - 3 - 2

Subtract the numbers:

- 3 - 2 = - 5

= 9 x y - 5

\frac{3}{x} + \frac{2}{3 x ^{2}} - \frac{7}{2 x ^{3}}

\frac{cos ( x )}{cos ^{2} ( x )}

\frac{2}{2 + 1}

(3 x + 4) (9 x^{2} - 12 x + 16)

\frac{90}{18}

What is (5sqrt(xy)-3)-(2-4sqrt(xy)) ?
The solution to (5sqrt(xy)-3)-(2-4sqrt(xy)) is 9sqrt(xy)-5