Question

Сократи дробь: 4(u+v)⋅(u−v)100(u−v)⋅(u+v)

Answer 1

4 (u^2-v^2)100 (u^2-v^2)

Answer 2

$\frac{4(u + v) \times (u - v)}{100(u - v) \times (u + v)} = \frac{4}{100} = \frac{1}{25} .$

Answer 3

To simplify the given fraction, we can cancel out the common factors in the numerator and denominator:

4(u + v) ⋅ (u - v) / 100(u - v) ⋅ (u + v)

The common factors in the numerator and denominator are (u + v) and (u - v). We can cancel them out:

= 4 / 100

Now, let's simplify this fraction further:

= 1 / 25

So, the simplified form of the fraction is 1/25.