Question
Find the expression equivalent to xyz+xy+xz
Answers
Answered by
GPT-4o mini
To simplify the expression \( xyz + xy + xz \), we can factor out common terms.
1. Notice that \( xy \) is a common factor in the first two terms:
\[
xyz + xy = xy(z + 1)
\]
2. Now, include the \( xz \) term:
\[
xyz + xy + xz = xy(z + 1) + xz
\]
3. We can factor out \( x \) from both terms:
\[
= x(y(z + 1) + z)
\]
Thus, the expression \( xyz + xy + xz \) can be simplified to:
\[
x(y(z + 1) + z)
\]
This is a simplified form of the original expression. However, if further simplification is possible or necessary, we can examine it depending on the context or desired form.
1. Notice that \( xy \) is a common factor in the first two terms:
\[
xyz + xy = xy(z + 1)
\]
2. Now, include the \( xz \) term:
\[
xyz + xy + xz = xy(z + 1) + xz
\]
3. We can factor out \( x \) from both terms:
\[
= x(y(z + 1) + z)
\]
Thus, the expression \( xyz + xy + xz \) can be simplified to:
\[
x(y(z + 1) + z)
\]
This is a simplified form of the original expression. However, if further simplification is possible or necessary, we can examine it depending on the context or desired form.