Question

1) 16x^2/8x^2y 2) mx-my/p(y-x) 3) y^2-6y+9/y^2-3 Сократите ДРОБЬ !!!!!!!!!!

Answer 1

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Answer 2

1. To simplify the fraction 16x^2 / 8x^2y, we can cancel out common factors in the numerator and denominator.

The numerator, 16x^2, can be factored as 8 * 2 * x * x, and the denominator, 8x^2y, can be factored as 8 * x * x * y.

Now we can cancel out the common factors:

(8 * 2 * x * x) / (8 * x * x * y)

Canceling out the common factors, we get:

2 / y

So, the simplified fraction is 2/y.

2. To simplify the fraction (mx - my) / p(y - x), we can factor out the common factor of 'm' in the numerator and 'p' in the denominator:

m(x - y) / p(y - x)

We can also simplify further by multiplying the numerator and denominator by -1 to change the sign:

-m(y - x) / p(y - x)

Now, we can cancel out the common factor of (y - x) in the numerator and denominator:

-m / p

So, the simplified fraction is -m/p.

3. To simplify the fraction (y^2 - 6y + 9) / (y^2 - 3), we can notice that both the numerator and denominator are perfect square trinomials.

The numerator, y^2 - 6y + 9, can be factored as (y - 3)^2, and the denominator, y^2 - 3, can be factored as (y + √3)(y - √3).

Now we can cancel out the common factors:

(y - 3)^2 / [(y + √3)(y - √3)]

So, the simplified fraction is (y - 3)^2 / [(y + √3)(y - √3)].