Simplify (5x² + 3x + 4) + (5x² + 5x - 1)

Solution:

A polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s)

Polynomial addition means adding like terms together. Like terms are those terms whose variables and their exponent powers are the same.

The coefficient of these variables can be different. Algebraic-like terms are terms that are similar to each other.

These like terms in the algebraic expression can be combined to simplify the expression to derive the answer in a simple manner.

Step 1:

Solve the brackets.

5x² + 3x + 4 + 5x² + 5x - 1

Step 2:

Separate like terms

5x² + 5x² + 3x + 5x + 4 - 1

Step 3:

Add them.

10x² + 8x + 3

Hence, the required expression is 10x² + 8x + 3.