1 answer
(click or scroll down)
To rewrite the algebraic expression \((3x - 1)(x - 4)\) using the Distributive Property, you will need to distribute each term in the first parentheses by each term in the second parentheses.
Hereโs how itโs done step by step:
1. Distribute \(3x\) to both \(x\) and \(-4\):
\[
3x \cdot x + 3x \cdot (-4) = 3x^2 - 12x
\]
2. Distribute \(-1\) to both \(x\) and \(-4\):
\[
-1 \cdot x + (-1) \cdot (-4) = -x + 4
\]
3. Now, combine all the terms:
\[
3x^2 - 12x - x + 4
\]
4. Combine like terms \(-12x\) and \(-x\):
\[
-12x - x = -13x
\]
Therefore, the expression \((3x - 1)(x - 4)\) can be rewritten as:
\[
3x^2 - 13x + 4
\]