Question

Subtract 5xy + 6x2 − 8y2 from 9x2 − 10xy − 5y2 + 4.

Answer 1

3x^2 - 15xy + 3y^2 + 4

Explanation:

To subtract 5xy + 6x^2 - 8y^2 from 9x^2 - 10xy - 5y^2 + 4, we can combine like terms:

9x^2 - 10xy - 5y^2 + 4 - (5xy + 6x^2 - 8y^2)

Simplifying the expression inside the parentheses:

= 9x^2 - 10xy - 5y^2 + 4 - 5xy - 6x^2 + 8y^2

Combining like terms again:

= (9x^2 - 6x^2) + (-10xy - 5xy) + (-5y^2 + 8y^2) + 4

= 3x^2 - 15xy + 3y^2 + 4

Therefore, the result of subtracting 5xy + 6x^2 - 8y^2 from 9x^2 - 10xy - 5y^2 + 4 is 3x^2 - 15xy + 3y^2 + 4.

Answer 2

To subtract 5xy + 6x^2 - 8y^2 from 9x^2 - 10xy - 5y^2 + 4, we need to combine like terms.

First, let's distribute the negative sign to each term in 5xy + 6x^2 - 8y^2 to get:

-5xy - 6x^2 + 8y^2

Now we can group the like terms together and subtract them from the other expression:

(9x^2 - 10xy - 5y^2 + 4) - (5xy + 6x^2 - 8y^2)

= 9x^2 - 10xy - 5y^2 + 4 - 5xy - 6x^2 + 8y^2

= (9x^2 - 6x^2) + (-10xy - 5xy) + (-5y^2 + 8y^2) + 4

= 3x^2 - 15xy + 3y^2 + 4

Therefore, the result of subtracting 5xy + 6x^2 - 8y^2 from 9x^2 - 10xy - 5y^2 + 4 is 3x^2 - 15xy + 3y^2 + 4.