Answer: Simplified form is given by
[tex]8.2x^2+5.8xy-1.9[/tex]
Step-by-step explanation:
Since we have given that
[tex](-6.7x^2 + 2.3xy + 5.2) - (-14.9x^2 - 3.5xy + 7.1)[/tex]
We just need to subtract the following polynomials:
First we gather the like terms together:
[tex](-6.7x^2 + 2.3xy + 5.2) - (-14.9x^2 - 3.5xy + 7.1)\\\\=-6.7x^2+2.3xy+5.2+14.9x^2+3.5xy-7.1\\\\=-6.7x^2+14.9x^2+2.3xy+3.5xy+5.2-7.1\\\\=8.2x^2+5.8xy-1.9[/tex]
Hence, simplified form is given by
[tex]8.2x^2+5.8xy-1.9[/tex]