Video: Addition of Algebraic Expressions

Add 7π‘Žπ‘ βˆ’ 2𝑐²𝑑² βˆ’ 𝑒³𝑓² to 8𝑒³𝑓² βˆ’ 9𝑐²𝑑² βˆ’ 5π‘Žπ‘.

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Video Transcript

Add seven π‘Žπ‘ minus two 𝑐 squared 𝑑 squared minus 𝑒 cubed 𝑓 squared to eight 𝑒 cubed 𝑓 squared minus nine 𝑐 squared 𝑑 squared minus five π‘Žπ‘.

In order to add these two expressions, we need to collect or group the like terms. Seven π‘Žπ‘ minus five π‘Žπ‘ is equal to two π‘Žπ‘. Negative two 𝑐 squared 𝑑 squared minus nine 𝑐 squared 𝑑 squared is equal to negative 11𝑐 squared 𝑑 squared, as negative two minus nine equals negative 11. Negative 𝑒 cubed 𝑓 squared plus eight 𝑒 cubed 𝑓 squared is equal to seven 𝑒 cubed 𝑓 squared, as negative one plus eight is equal to seven.

This means that our final answer is two π‘Žπ‘ minus 11𝑐 squared 𝑑 squared plus seven 𝑒 cubed 𝑓 squared. We could rewrite these three terms in any order as long as the two π‘Žπ‘ is positive, the 11𝑐 squared 𝑑 squared is negative, and the seven 𝑒 cubed 𝑓 squared is positive. For example, the answer could also be written seven 𝑒 cubed 𝑓 squared minus 11𝑐 squared 𝑑 squared plus two π‘Žπ‘.

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