Video: Subtracting Algebraic Expressions

Subtract 7𝑦 + 𝑧² βˆ’ 3π‘₯Β³ from 6π‘₯Β³ + 5𝑧² βˆ’ 8𝑦.

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Video Transcript

Subtract seven 𝑦 plus 𝑧 squared minus three π‘₯ cubed from six π‘₯ cubed plus five 𝑧 squared minus eight 𝑦.

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 𝑦 terms. Negative eight 𝑦 minus seven 𝑦, this is equal to negative 15 𝑦 as negative eight minus seven is equal to negative 15.

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

This means that our answer when we subtract seven 𝑦 plus 𝑧 squared minus three π‘₯ cubed from six π‘₯ cubed plus five 𝑧 squared minus eight 𝑦 is equal to nine π‘₯ cubed minus 15 𝑦 plus four 𝑧 squared.

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