Example 1

Mark and simplify the sum of polynomials [[$ 2a+3 $]]​ and [[$ -5a+1 $]]​. 

The sum is marked [[$ (2a+3)+(-5a+1) $]].

Example 2

Mark and simplify the opposite polynomial of [[$ -6a^2+b-1 $]]​.

The opposite polynomial is formed by placing a minus sign in front of the polynomial.

Example 3

Mark and simplify the difference of polynomials[[$ 2a+3 $]]​ and [[$ -5a+1 $]]​.

The polynomials are subtracted from one another by adding the opposite polynomial of the latter polynomial to the first polynomial.

Example 4

Calculate the value of polynomial [[$ a-3a^2+4-5a-(3-2a^2-4a) $]]​ when[[$ a=10 $]].​

Before placing the value of a variable inside the expression, you should simplify the polynomial!

[[$ a-3a^2+4-5a-(3-2a^2-4a) = a-3a^2+4-5a-3+2a^2+4a =-a^2+1 $]]

Place 10 in the place of a in the simplified expression [[$ -a^2+1 $]]​.

[[$ -10^2+1=-100+1=-99 $]]​