Question

perform and simplify
(x^3*3xy-8y^2)-(6x^3+8xy+y^2)

Answer 1

(x^3*3xy-8y^2) or (x^3 + 3xy - 8y^2) ?

Answer 2

If (x^3 + 3xy - 8y^2) , Just "distribute" the negative sign to the 2nd polynomial.

\[( x^3 + 3xy - 8y^2 ) - 6x^3 - 8xy - y^2\]

Simplifying:

\[ x^3 + 3xy - 8y^2 - 6x^3 - 8xy - y^2\]
\[ - 5x^3 - 5xy - 9y^2\] or
\[ - (5x^3 + 5xy + 9y^2)\]