Question

-x²y(x²y²-x²-y²)=? Ответьте пожалуйста.

Answer 1

ответ:

-x⁴y³+x⁴y+x²y³

Answer 2

To simplify the expression -x²y(x²y²-x²-y²), we can follow the order of operations, which is also known as the PEMDAS rule (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Let's break down the expression step by step:

1. Distribute -x²y to the terms inside the parentheses: -x²y(x²y²-x²-y²) = -x²y * x²y² + x²y * x² - x²y * y²

2. Simplify each term separately: -x²y * x²y² = -x^2 * x^2 * y * y^2 = -x^4 * y^3 x²y * x² = x^2 * x^2 * y = x^4 * y -x²y * y² = -x^2 * y * y^2 = -x^2 * y^3

3. Combine the simplified terms: -x^4 * y^3 + x^4 * y - x^2 * y^3

4. Group like terms: (-x^4 * y^3) + (x^4 * y) + (-x^2 * y^3)

5. Combine the like terms: -x^4 * y^3 + x^4 * y - x^2 * y^3 = (x^4 * y) - (x^4 * y^3) - (x^2 * y^3)

Therefore, the simplified expression is (x^4 * y) - (x^4 * y^3) - (x^2 * y^3).

Please let me know if you have any further questions!