Video: Addition of Algebraic Expressions

Add (7𝑎 + 6𝑏²) to (5𝑐³ + 𝑏² − 5𝑎).

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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.

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