Question

** Which expression demonstrates the distributive property applied to the expression 4(x + y)?​

Answer 1

The correct answer is option B) 4x + 4y.

Let's break down the solution step by step:

**Step 1: Original Expression**

The given expression is
`\(4(x + y)\)`.

**Step 2: Apply Distributive Property**

Apply the distributive property, which states that
`\(a \cdot (b + c) = a \cdot b + a \cdot c\).`

`\[4(x + y) = 4 \cdot x + 4 \cdot y\]`

**Step 3: Simplify**

Multiply 4 by both
`\(x\)` and
`\(y\)` to get
`\(4x + 4y\).`

**Step 4: Evaluate Options**

Evaluate the provided options:

- Option A)
`\(4x + y\)` is not correct because it fails to distribute 4 to both \(x\) and \(y\).

- Option B)
`\(4x + 4y\)` is the correct expression after applying the distributive property.

- Option C)
`\(4(y + x)\)` rearranges the order but maintains the correct distribution.

- Option D)
`\(4 \cdot (y \cdot x)\)` multiplies 4 by the product of
`\(y\)` and
`\(x\)` but does not distribute 4 to both \(x\) and \(y\).

**Conclusion:**

The correct expression demonstrating the distributive property is
`\(4x + 4y\),` so the answer is option B).

The question probable maybe:

Which expression demonstrates the distributive property applied to the expression 4(x + y) ?
A) 4x + y
B) 4x + 4y
C) 4(y + x)
D) 4* (y * x)