Video: Subtracting Algebraic Expressions

Subtract 7๐‘ฆ + ๐‘งยฒ โˆ’ 3๐‘ฅยณ from 6๐‘ฅยณ + 5๐‘งยฒ โˆ’ 8๐‘ฆ.

01:29

Video Transcript

Subtract seven ๐‘ฆ plus ๐‘ง squared minus three ๐‘ฅ cubed from six ๐‘ฅ cubed plus five ๐‘ง squared minus eight ๐‘ฆ.

In order to subtract these two expressions, we need to group or collect the like terms. Firstly, we can group the ๐‘ฅ cubed terms. Six ๐‘ฅ cubed minus negative three ๐‘ฅ cubed, this is equal to nine ๐‘ฅ cubed as six minus negative three is equal to nine.

Next, we can group the ๐‘ฆ terms. Negative eight ๐‘ฆ minus seven ๐‘ฆ, this is equal to negative 15 ๐‘ฆ as negative eight minus seven is equal to negative 15.

Finally, we need to group the ๐‘ง or ๐‘ง squared terms. Five ๐‘ง squared minus ๐‘ง squared, this is equal to four ๐‘ง squared as five minus positive one is equal to four.

This means that our answer when we subtract seven ๐‘ฆ plus ๐‘ง squared minus three ๐‘ฅ cubed from six ๐‘ฅ cubed plus five ๐‘ง squared minus eight ๐‘ฆ is equal to nine ๐‘ฅ cubed minus 15 ๐‘ฆ plus four ๐‘ง squared.

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