Video Transcript
Add seven 𝑎 plus six 𝑏 squared to five 𝑐 cubed plus 𝑏 squared minus five 𝑎.
Adding the two expressions initially gives us seven 𝑎 plus six 𝑏 squared plus five 𝑐 cubed plus 𝑏 squared minus five 𝑎. We can group or simplify the two 𝑎 terms and the two 𝑏 squared terms.
Grouping the two 𝑎 terms gives us two 𝑎 as seven 𝑎 minus five 𝑎 is equal to two 𝑎. Grouping the 𝑏 squared terms gives us seven 𝑏 squared as six 𝑏 squared plus 𝑏 squared is equal to seven 𝑏 squared. There is only one 𝑐 cubed term. So we cannot simplify or group this.
This means that seven 𝑎 plus six 𝑏 squared plus five 𝑐 cubed plus 𝑏 squared minus five 𝑎 is equal to two 𝑎 plus seven 𝑏 squared plus five 𝑐 cubed.
