Question

Сократите дробь (7p-2)^2/(2-7p)^2

Answer 1

Когда за скобкой есть квадрат то внутри место чисел можно поменять!!!

Answer 2

$\frac{(7p - 2 {)}^{2} }{(2 - 7p {)}^{2} } = \frac{(7p - 2 {)}^{2} }{ - ((7p - 2 {))}^{2} } = \\ = \frac{(7p - 2 {)}^{2} }{(7p - 2 {)}^{2} } = 1$

Всё сделано лично мной. Копирование запрещено©

Answer 3

To simplify the fraction, you can follow these steps:

Step 1: Factor the numerator and denominator.

The numerator is (7p - 2)^2, which can be expanded as (7p - 2) * (7p - 2).

The denominator is (2 - 7p)^2, which can be expanded as (2 - 7p) * (2 - 7p).

Step 2: Cancel out common factors between the numerator and denominator.

The (7p - 2) terms in the numerator and denominator will cancel out.

Step 3: Simplify the remaining expression.

After canceling the common factors, the simplified fraction is:

[(7p - 2) * (7p - 2)] / [(2 - 7p) * (2 - 7p)]

Now, multiply the terms in the numerator and denominator:

(7p - 2)(7p - 2) = 49p^2 - 14p - 14p + 4 = 49p^2 - 28p + 4

(2 - 7p)(2 - 7p) = 4 - 14p - 14p + 49p^2 = 49p^2 - 28p + 4

Notice that the numerator and denominator are the same:

(49p^2 - 28p + 4) / (49p^2 - 28p + 4)

Step 4: Reduce the fraction.

Since the numerator and denominator are the same, the fraction is equal to 1:

1