To multiply [tex]\(6\)[/tex] by the expression [tex]\((x + 5)\)[/tex], follow these steps:
1. Distribute the 6: Distribute the 6 to both terms inside the parentheses individually.
- The first term inside the parentheses is [tex]\(x\)[/tex].
- The second term inside the parentheses is [tex]\(5\)[/tex].
2. Multiply each term:
- Multiply [tex]\(6\)[/tex] by [tex]\(x\)[/tex]:
[tex]\[
6 \cdot x = 6x
\][/tex]
- Multiply [tex]\(6\)[/tex] by [tex]\(5\)[/tex]:
[tex]\[
6 \cdot 5 = 30
\][/tex]
3. Combine the results:
- After distributing and multiplying, combine the terms to get the final expanded form.
[tex]\[
6x + 30
\][/tex]
So, the expanded form of the expression [tex]\(6(x + 5)\)[/tex] is:
[tex]\[
6x + 30
\][/tex]
