Q:

What algebraic property is demonstrated in the equation below? 5(8x-4) - 10 = 40x - 20 -10

Accepted Solution

A:
Answer:Distributive Property is demonstrated in equation below.5(8x-4) - 10 = 40x - 20 -10 Step-by-step 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.[tex]A(B\pm C)=A\times B \pm A\times C[/tex]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[tex]5(8x-4) - 10 = 5\times8x-5\times 4 -10\\=40x -20-10\\5(8x-4) - 10 =40x-30[/tex]