Question

Сократить: (xy+y^2/15x) * (3x/x+y)

Answer 1

$(\frac{xy+y^{2} }{15x})$✖$(\frac{3x}{x+1})$ = $\frac{xy+y^{2} }{15x}$ ✖ $\frac{3x}{x+y}$ = $\frac{y* (x+y)}{5}$✖$\frac{1}{x+y}$=$\frac{y}{5}$

Answer 2

To simplify the given expression, we'll start by factoring and canceling common terms:

Step 1: Factor the expression (xy + y^2 / 15x) * (3x / (x + y))

Step 2: Cancel common terms We can see that (xy) in the first term and (x) in the second term can be canceled out:

= y * (y / 15) * (3 / (x + y))

Step 3: Further simplify Now, we can multiply the constants together:

= 3y^2 / (15(x + y))

Step 4: Reduce the fraction To simplify further, we can divide both the numerator and denominator by their greatest common divisor, which is 3:

= y^2 / (5(x + y))

So, the simplified expression is: y^2 / (5(x + y))