1/2x^0,5+3y^0,5 - 1/2x^0.5-3x^0,5 * (2x-9/2y)

Предыдущий
вопрос Следующий
вопрос

Let's simplify the given expression step by step.

1) Simplify 1/2x^0.5:

1/2x^0.5 = 1/2 * sqrt(x) = sqrt(x)/2

2) Simplify 3y^0.5:

3y^0.5 = 3 * sqrt(y)

3) Simplify - 1/2x^0.5:

4) Simplify - 3x^0.5:

5) Simplify (2x-9/2y):

= 2x - 9/(2y)

Using the above simplifications, we substitute them back into the given expression:

(sqrt(x)/2) + 3sqrt(y) - sqrt(x)/2 - 3sqrt(x) * (2x - 9/(2y))

This expression can be further simplified by expanding the last term using the distributive property:

(sqrt(x)/2) + 3sqrt(y) - sqrt(x)/2 - 3sqrt(x)2x + 3sqrt(x)*(9/(2y))

Which simplifies to:

3sqrt(y) - 6xsqrt(x) + 27/(2sqrt(y))

Therefore, the simplified expression is:

3sqrt(y) - 6xsqrt(x) + 27/(2sqrt(y))