Question

Сократить: а) 42d^2 - 24d^ ----------------- (4-7d)^2 б) 6х-28у ----------- 9х^2-43xy

Answer 1

Первое: 6d/7d-4
Второе: 2/3x

Answer 2

а) To simplify the expression 42d^2 - 24d / (4-7d)^2, we can first factor out the greatest common factor (GCF) from the numerator, which is 6d. We can also factor out the GCF from the denominator, which is (4-7d).

42d^2 - 24d = 6d(7d - 4)

Now, the expression becomes:

6d(7d - 4) / (4-7d)^2

However, we cannot simplify it further because the numerator and denominator do not have any common factors.

b) To simplify the expression 6x - 28y / (9x^2 - 43xy), we can factor out the greatest common factor (GCF) from the numerator, which is 2:

6x - 28y = 2(3x - 14y)

Now, the expression becomes:

2(3x - 14y) / (9x^2 - 43xy)

Again, we cannot simplify it further because the numerator and denominator do not have any common factors.