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To use the Distributive Property on the expression \((3x - 1)(x - 4)\), we will distribute each term in the first parenthesis to each term in the second parenthesis.
1. Distributing \(3x\):
- \(3x \cdot x = 3x^2\)
- \(3x \cdot (-4) = -12x\)
2. Distributing \(-1\):
- \(-1 \cdot x = -x\)
- \(-1 \cdot (-4) = 4\)
Now we combine all these results:
\[
3x^2 - 12x - x + 4
\]
Combine the like terms (i.e., \(-12x - x\)):
\[
3x^2 - 13x + 4
\]
Thus, the expression \((3x - 1)(x - 4)\) can be rewritten as:
\[
3x^2 - 13x + 4
\]
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