Question

Сократите дробь 10x²+5xy ————– 4x²-y²

Answer 1

$\frac{5x(2x+y)}{(2x-y)(2x+y)} =\frac{5x}{2x-y}$

Answer 2

To simplify the fraction (10x² + 5xy) / (4x² - y²), we need to look for common factors in the numerator and denominator that can be canceled out.

The numerator is 10x² + 5xy, and the denominator is 4x² - y². Notice that both terms have a common factor of 5x, which we can factor out:

Numerator: 10x² + 5xy = 5x(2x + y) Denominator: 4x² - y² = (2x + y)(2x - y)

Now, we can cancel out the common factor of (2x + y) from both the numerator and the denominator:

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

After canceling out the common factor, we are left with:

5x / (2x - y)

So the simplified fraction is 5x / (2x - y).