Question

expand 8(3q+2)

Answer 1

are you positive this is right?

Answer 2

To expand the expression \(8(3q+2)\), we'll use the distributive property, which states that for any real numbers \(a\), \(b\), and \(c\), the following is true: \(a(b+c) = ab + ac\).

Applying the distributive property to the expression \(8(3q+2)\), we get:

\[8(3q) + 8(2)\]

Perform the multiplication for each term:

\[8 \times 3q + 8 \times 2\]

\[24q + 16\]

So, the expanded form of \(8(3q+2)\) is \(24q + 16\).

Answer 3

Yes, the expansion of the expression \(8(3q+2)\) I provided in the previous answer is indeed correct. Applying the distributive property of multiplication over addition, we carry out the multiplication for each term inside the parentheses by the factor on the outside, which in this case is 8. Here are the steps again, laid out more clearly:

The original expression is:

\[8(3q+2)\]

Using the distributive property, we multiply 8 by each term inside the parentheses:

\[8 \cdot 3q + 8 \cdot 2\]

Carry out the multiplication for each term:

\[24q + 16\]

Thus, the expanded form of \(8(3q+2)\) is indeed \(24q + 16\).