Expand 13(q−6)

1
3
(
𝑞

6
)
using the Distributive Property.(1 point)
Responses

13q−6
1
3
𝑞

6
Start Fraction 1 over 3 End Fraction q minus 6

−13q+2

1
3
𝑞
+
2
negative Start Fraction 1 over 3 End Fraction q plus 2

−13q+6

1
3
𝑞
+
6
negative Start Fraction 1 over 3 End Fraction q plus 6

13q−2
1
3
𝑞

2
Start Fraction 1 over 3 End Fraction q minus.,m ,m,m,,m,

1 answer

To expand the expression \( 13(q - 6) \) using the Distributive Property, we will distribute the \( 13 \) to both terms inside the parentheses:

\[ 13(q - 6) = 13 \cdot q + 13 \cdot (-6) \]

Calculating each term:

  1. \( 13 \cdot q = 13q \)
  2. \( 13 \cdot (-6) = -78 \)

Therefore, combining these, we have:

\[ 13(q - 6) = 13q - 78 \]

However, the options you provided seem to contain fractions and different terms. Could you please clarify if you intended to include those or if I should stick to the standard form without fractions?