Answer:
Step-by-step explanation:
The initial expression is:
[tex](5x^{3}y^{2}+x^{2}-6x^{2}y^{3})-(3x^{2}y^{3}-4y^{3}+7x^{2})[/tex]
Using BEMDAS (Brackets - Exponents - Multiplication - Division - Addition -Subtraction), we first start with brackets:
[tex]5x^{3}y^{2}+x^{2}-6x^{2}y^{3}-3x^{2}y^{3}+4y^{3}-7x^{2}[/tex]
Remember that if there is a negative sign, it will change the signs of the terms within the brackets.
Then, collecting like terms:
[tex]5x^{3}y^{2}-9x^{2}y^{3}+4y^{3}-6x^{2}[/tex]