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