Respuesta :

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]