Video Transcript
Subtract seven ๐ฆ plus ๐ง squared minus three ๐ฅ cubed from six ๐ฅ cubed plus five ๐ง squared minus eight ๐ฆ.
In order to subtract these two expressions, we need to group or collect the like terms. Firstly, we can group the ๐ฅ cubed terms. Six ๐ฅ cubed minus negative three ๐ฅ cubed, this is equal to nine ๐ฅ cubed as six minus negative three is equal to nine.
Next, we can group the ๐ฆ terms. Negative eight ๐ฆ minus seven ๐ฆ, this is equal to negative 15 ๐ฆ as negative eight minus seven is equal to negative 15.
Finally, we need to group the ๐ง or ๐ง squared terms. Five ๐ง squared minus ๐ง squared, this is equal to four ๐ง squared as five minus positive one is equal to four.
This means that our answer when we subtract seven ๐ฆ plus ๐ง squared minus three ๐ฅ cubed from six ๐ฅ cubed plus five ๐ง squared minus eight ๐ฆ is equal to nine ๐ฅ cubed minus 15 ๐ฆ plus four ๐ง squared.
