To solve the expression [tex]\((h - k)(3)\)[/tex], we assume that [tex]\(h\)[/tex] and [tex]\(k\)[/tex] are variables or constants, and our task is to simplify the expression.
Here's the step-by-step process:
1. Identify the components: The expression consists of two parts:
- [tex]\(h - k\)[/tex]: This represents a difference between two quantities or variables, [tex]\(h\)[/tex] and [tex]\(k\)[/tex].
- [tex]\(3\)[/tex]: This is a constant multiplier.
2. Apply the constant multiplier: We will distribute the constant multiplier [tex]\(3\)[/tex] across the expression [tex]\(h - k\)[/tex].
3. Distribution of the multiplier [tex]\(3\)[/tex]: According to the distributive property, we multiply each term inside the parentheses by [tex]\(3\)[/tex]:
[tex]\[
3 \cdot (h - k) = 3h - 3k
\][/tex]
4. Final result: The expression [tex]\((h - k)(3)\)[/tex] simplifies to [tex]\(3h - 3k\)[/tex].
Thus, the simplified form of the given expression is:
[tex]\[
(h - k)(3) = 3h - 3k
\][/tex]
