Question

What algebraic property is demonstrated in the equation below?

5(8x-4) - 10 = 40x - 20 -10

Answer 1

Distributive Property is demonstrated in equation below.

5(8x-4) - 10 = 40x - 20 -10

Explanation:

Distributive Property:

The distributive property lets us multiply a sum by multiplying each addend separately and then add the products.

Normally,students does not understand by these word definition we will see some examples based on that.

`A(B\pm C)=A* B \pm A* C`

Here A is multiplied by B and then addition sign or Subtraction sign and then A is multiplied by C is done by distributive property that means we are distributing A to B and C.

Here given,

5(8x-4) - 10 = 40x - 20 -10

by applying distributive property we get

`5(8x-4) - 10 = 5*8x-5* 4 -10\\=40x -20-10\\5(8x-4) - 10 =40x-30`