Question

Choose the expanded form of this expression. 4(14a + b – 6) A. a + b – 24 B. 4a – 6b C. 4a + b – 6 D. a + 4b – 24

Answer 1

D

`a+4b-24`

Explanation:

1) The Distributive Property of Multiplication says that any factor (e.g. number), multiplying a sum/subtraction within parenthesis. This factor can be distributed, and then multiplies each addend. As it follows:

`4((1)/(4)a+b-6)=\\4((1)/(4)a)+4b+4(-6)=\\a+4b-24`

Answer 2

D. a + 4b – 24

Explanation:

4(1/4a + b – 6)

distribute

4*1/4a + 4* b -4*6

a +4b-24