The correct answer is 4a^2 + 3ab
In order to find this, we can write the equation out as described and then follow the order of operations.
3a^2 - 2ab + 3b^2 - (-a^2 - 5ab + 3b^2) ----> Distribute the negative
3a^2 - 2ab + 3b^2 + a^2 + 5ab - 3b^2 ----> Combine like terms
4a^2 + 3ab
The subtraction -a² - 5ab + 3b² from 3a² -2ab + 3b² is -a(4a + 3b)
Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Simplification is to make something easier to do or understand and to make something less complicated.
Given
-a² - 5ab + 3b² and 3a² -2ab + 3b² are the two expression.
-a² - 5ab + 3b² from 3a² -2ab + 3b², we will have
-a² - 5ab + 3b² - (3a² -2ab + 3b²)
On simplifying,
-a² - 5ab + 3b² - 3a² + 2ab - 3b²
-4a² - 3ab
-a(4a + 3b)
Thus , the subraction is -a(4a + 3b).
More about the subtraction link is given below.
https://brainly.com/question/4319655
