Video Transcript
Using the vertical method, subtract
the following algebraic expressions: two 𝑥 plus five 𝑦 plus seven, three 𝑥 minus
two 𝑦 minus one.
We first recall that we can
subtract algebraic expressions by subtracting the coefficients of the like terms,
that is, the terms with the same variables and with the same exponents on these
variables. We can see that each column
contains like terms, so we just need to subtract their coefficients. Two 𝑥 minus three 𝑥 is equal to
two minus three multiplied by 𝑥, which is equal to negative one 𝑥 or just negative
𝑥.
Next, we have five 𝑦 minus
negative two 𝑦, which is equal to five minus negative two multiplied by 𝑦. As subtracting negative two is the
same as adding two, we have seven 𝑦. Finally, we have seven minus
negative one, which is the same as seven plus one, which equals eight. Writing this in column form, we
have a final answer of negative 𝑥 plus seven 𝑦 plus eight.