Question

Разложите на множители x²y²-z²=??? напишите все по процессам

Answer 1

Применим формулу разности квадратов:
= (ху - z)(xy+z)

Answer 2

Factoring the Expression x²y² - z²

To factor the expression x²y² - z², we can use the difference of squares formula, which states that a² - b² can be factored as (a + b)(a - b).

In this case, we have x²y² - z². Let's rewrite this expression as (xy)² - z². Now we can apply the difference of squares formula.

Using the difference of squares formula, we can factor (xy)² - z² as ((xy) + z)((xy) - z).

Therefore, the factored form of x²y² - z² is ((xy) + z)((xy) - z).

Let's summarize the factoring process: 1. Start with the expression x²y² - z². 2. Rewrite the expression as (xy)² - z². 3. Apply the difference of squares formula: (xy)² - z² = ((xy) + z)((xy) - z). 4. The factored form of x²y² - z² is ((xy) + z)((xy) - z).

I hope this explanation helps! Let me know if you have any further questions.