Question

Сократите дробь y^2 - z^2 2y+2z

Answer 1

$\frac{{y}^{2} - {z}^{2} } {2y + 2z} = \frac{(y - z)(y + z)}{2(y + z)} = \frac{y - z}{2}$

Answer 2

To simplify the given fraction, we can factor the numerator and then look for common terms to cancel out. Let's simplify the fraction (y^2 - z^2) / (2y + 2z):

Step 1: Factor the numerator. y^2 - z^2 can be factored as (y + z)(y - z).

Step 2: Look for common terms. Notice that there's a common factor of 2 in both the numerator and the denominator.

Step 3: Cancel out common terms. Cancel out the common factor of 2: (y + z)(y - z) / (2y + 2z) = (y + z)(y - z) / 2(y + z).

Step 4: Further simplify (if possible). Now, we can cancel out the common factor of (y + z): (y - z) / 2.

So, the simplified form of the fraction is (y - z) / 2.