Question

2) Expand using the Distributive Property first, then simplify.

Answer 1

To expand the expression using the distributive property, we multiply each term inside the parentheses by the number outside the parentheses:

2(5x + 3) - 3(2x + 1)

Expanding:

= 2 * 5x + 2 * 3 - 3 * 2x - 3 * 1

Simplifying:

= 10x + 6 - 6x - 3

Combining like terms:

= 10x - 6x + 6 - 3

= 4x + 3

So, the simplified expression is 4x + 3.

Answer 2

4x + 3

Explanation:

Given expression,

→ 2(5x + 3) - 3(2x + 1)

Now we have to,

→ Simplify the given expression.

The property we use,

→ Distributive property.

Let's simplify the expression,

→ 2(5x + 3) - 3(2x + 1)

Applying Distributive property:

→ 2(5x) + 2(3) - 3(2x) - 3(1)

→ 10x + 6 - 6x - 3

Simplifying the expression:

→ (10x - 6x) + (6 - 3)

→ (4x) + (3)

→ 4x + 3

Hence, the answer is 4x + 3.