Question

What should be subtracted from x square - xy + y square - x + y + 32 obtain minus x square + 3 y square - 4 x y + 1

Answer 1

The number should be subtracted is 2x² - 2y² - 3xy - x + y + 31

Step-by-step explanation:

Let the number should be subtracted = M

x²- xy + y² - x + y + 32 - M = -x² + 3y² - 4xy + 1

=> M = x² - xy + y² - x + y + 32 - (-x² + 3y² - 4xy + 1)

=> M = x² - xy + y² - x + y + 32 + x² - 3y² + 4xy - 1

=> M = 2x² - 2y² - 3xy - x + y + 31

Hence, the number should be subtracted is 2x² - 2y² - 3xy - x + y + 31