How do I use the distributive property to simplify the expressions below?1.    -2(x+1)= 2.     1/2(x-4)= 3.    2x(3-4y)= 4.    (-3)(10)= 5.    2000(5432)(-8)(0)=

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lemjay | High School Teacher | (Level 3) Senior Educator

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The distributive property of algebra is: a(b+c) = ab + ac.

 

#1. -`2(x+1) = (-2*x) + (-2*1) = -2x - 2`

      Answer: `-2x - 2`

 

#2. `1/2(x-4) = (1/2*x) - (1/2*4) = x/2 - 4/2 = x/2 - 2`

      Answer: `x/2 - 2`

 

#3. 2x(3-4y) = (2x*3) - (2x*4y) = 6x - 8xy

    Answer: `6x - 8xy`

 

#4. `(-3)(10) = -30`

This follow the rules for multiplication of unlike signs.                             `(-N)*(+N) = (-)` product

   Answer: -30

 

#5. 2000(5432)(-8)(0) = 0

Note that if number is multiplied with zero, the product is zero. `(N)* (0) = 0`

      Answer: 0

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cgrant2 | High School Teacher | (Level 1) Valedictorian

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1. Distribute the 2 to the x and -1 = -2x-2

2. Distrubute the 1/2 to the x and -4 = 1/2x-2 

3. Distrubute the 2x to the 2 and -4y = 6x-8xy 

4. -3 x 10 = -30

5. The answer is 0 because anything multipied by 0 is 0 (zero identity of multiplication rule) 

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