Question

Which of the following statements shows the distributive property?5(4 – 2) = 20 – 105 + (4 – 2) = 20 – 105(4 – 2) = 9 – 75 + (4 – 2) = 9 + 3

Answer 1

Distributive property of multiplication over subtraction

`a*(b-c)=a* b-a* c`

where a, b, and c are some numbers.

Substituting with a = 5, b = 4, and c = 2, we get:

`5*(4-2)=5*4-5*2=20-10`