Question

Как решить (7+х)(х-7)по формуле (а-в)(а+в) =а(2)-в(2)(2)- во второй степени С ОБЪЯСНЕНИЕМ ​

Answer 1

надо знать эту формулу - разность квадратов.

(7+х)(х-7)=(х+7)(х-7)=х²-49.

Answer 2

Объяснение:

(7+х)*(х-7)= (От перестановки слагаемых сумма не меняется) (х+7)*(х-7)= (От перестановки множителей произведение не меняется) (х-7)*(х+7)

(х-7)*(х+7), по формуле (а-в)*(а+в)=а²-в² ⇒ а=х; в=7

(х-7)*(х+7)=х²-7²=х²-49

(7+х)*(х-7)=х²-49

Answer 3

Solving the Expression (7x)(x-7) using the Difference of Squares Formula

To solve the expression (7x)(x-7) using the difference of squares formula, we can follow these steps:

1. Identify the Form of the Expression: - The given expression (7x)(x-7) is in the form of a difference of squares, which can be expressed as (a-b)(a+b) where a = 7x and b = 7.

2. Apply the Difference of Squares Formula: - The difference of squares formula states that (a-b)(a+b) = a^2 - b^2.

3. Substitute the Values: - Substitute the values of a and b into the formula to simplify the expression.

4. Simplify the Expression: - After substituting the values, simplify the expression to obtain the final result.

Applying the Difference of Squares Formula

The difference of squares formula states that (a-b)(a+b) = a^2 - b^2. Applying this formula to the given expression (7x)(x-7), we get:

(7x)(x-7) = (7x)^2 - 7^2

Simplifying the Expression

Now, let's simplify the expression using the values of a and b:

(7x)^2 - 7^2 = 49x^2 - 49 So, the simplified form of the expression (7x)(x-7) using the difference of squares formula is 49x^2 - 49.

This is the final result after applying the difference of squares formula to the given expression.