Answer:
The sum of 4a-a^3) + ( 2a^3-5a^2+8) is a^2 − 5a^2 + 4a + 8. This can be obtained by combining the like terms of the two polynomials
Explanation:
Like terms are terms that have the same variable part, such as a^3 or a^2. To combine like terms, we add their coefficients, which are the numbers in front of the variables. For example, 4a and -5a are like terms, and their sum is (4-5)a = -a. The text follows these steps to combine the like terms of the two polynomials:
Step 1: Write the polynomials in a horizontal manner with an addition (+) sign between them.
Step 2: Combine the like terms together by clubbing them in parentheses by retaining the sign of every term.
Step 3: Perform the calculations.