Answer:
Solution to the given expression is [tex](x^2 -10y^2 -2xy)[/tex]
Step-by-step explanation:
Here, the given expression are:
[tex]P(x) = 2x^2- 3xy+4y^2\\Q(x) = 3x^2 - 5xy-6y^2[/tex]
To Solve for : Q(x) - P(x)
Now substitute the value of P(x) and Q(x) , we get:
[tex]Q(x) - P(x) = P(x) = (3x^2 - 5xy-6y^2) - (2x^2- 3xy+4y^2)\\= 3x^2 - 5xy-6y^2 - 2x^2+3xy-4y^2\\=x^2-10y^2-2xy\\\implies Q(x) - P(x) = (x^2-10y^2-2xy)[/tex]
Hence solution to the given expression is [tex](x^2 -10y^2 -2xy)[/tex]