Question

Simplify. (5x^3y^2+x^2-6x^2y^3) - (3x^2y^3-4y^3+7x^2)

Answer 1

Explanation:

The initial expression is:

`(5x^(3)y^(2)+x^(2)-6x^(2)y^(3))-(3x^(2)y^(3)-4y^(3)+7x^(2))`

Using BEMDAS (Brackets - Exponents - Multiplication - Division - Addition -Subtraction), we first start with brackets:

`5x^(3)y^(2)+x^(2)-6x^(2)y^(3)-3x^(2)y^(3)+4y^(3)-7x^(2)`

Remember that if there is a negative sign, it will change the signs of the terms within the brackets.

Then, collecting like terms:

`5x^(3)y^(2)-9x^(2)y^(3)+4y^(3)-6x^(2)`