Question

(3x-y)²-(3x+y)(y-3x)

Answer 1

(3x-y)²-(3x+y)(y-3x) = 9х^2 - 6ху + у^2 - (3ху - 9х^2 + у^2 - 3ху ) = 9х^2 - 6ху + у^2 - 3ху + 9х^2 - у^2 + 3ху = 18х^4 - 6ху.
Удачи)))

Answer 2

To simplify the given expression (3x - y)² - (3x + y)(y - 3x), we'll perform the necessary steps:

Step 1: Expand the squared term (3x - y)² Step 2: Expand the product (3x + y)(y - 3x) Step 3: Subtract the second expression from the first.

Let's start with Step 1:

Step 1: Expand (3x - y)² (3x - y)² = (3x - y)(3x - y) Use the FOIL method to expand the expression: (3x - y)(3x - y) = 3x * 3x + 3x * (-y) - y * 3x - y * (-y) = 9x² - 3xy - 3xy + y² = 9x² - 6xy + y²

Step 2: Expand (3x + y)(y - 3x) (3x + y)(y - 3x) = 3x * y - 3x * 3x + y * y - y * 3x = 3xy - 9x² + y² - 3xy

Step 3: Subtract the second expression from the first. (3x - y)² - (3x + y)(y - 3x) = (9x² - 6xy + y²) - (3xy - 9x² + y²)

Now, perform the subtraction:

= 9x² - 6xy + y² - 3xy + 9x² - y² Since the y² terms will cancel each other out: = 9x² + 9x² - 6xy - 3xy = 18x² - 9xy

The simplified expression is 18x² - 9xy.