Video Transcript
Find 𝐴 plus 𝐵 given 𝐴 is equal to five 𝑠 cubed minus three 𝑠 and 𝐵 is equal to negative six 𝑠 squared plus three 𝑠.
In order to work out 𝐴 plus 𝐵, we need to add five 𝑠 cubed minus three 𝑠 and negative six 𝑠 squared plus three 𝑠. Adding negative six 𝑠 squared plus three 𝑠 can be rewritten as minus six 𝑠 squared plus three 𝑠.
We now need to group or collect the like terms. The only two terms with the same exponent or index of 𝑠 are negative three 𝑠 and positive three 𝑠. Negative three 𝑠 plus three 𝑠 is equal to zero. Therefore, these two terms cancel. This means that 𝐴 plus 𝐵 is equal to five 𝑠 cubed minus six 𝑠 squared, where 𝐴 was five 𝑠 cubed minus three 𝑠 and 𝐵 was negative six 𝑠 squared plus three 𝑠.
