Question

Write an equivalent expression.

-2(6 + 8g)

a) -2(6 + 8g) = -12 + 8g
b) -2(6 + 8g) = - 12 - 16g
c) -2(6 + 8g) = -2 - 16g
d) -2(6 + 8g) = 8g - 12

Answer 1

The equivalent expression for -2(6 + 8g) is -12 - 16g after applying the distributive property, making the correct answer option b) -2(6 + 8g) = - 12 - 16g. The correct option is b.

Step-by-step explanation:

To find the equivalent expression for -2(6 + 8g), we need to use the distributive property. This property states that a(b + c) = ab + ac. By applying it to the expression, we have:

• -2 × 6 = -12
• -2 × 8g = -16g

Putting it all together, the equivalent expression is -12 - 16g.

Comparing this with the choices given, the correct answer is:

b) -2(6 + 8g) = - 12 - 16g. The correct option is b.