gigi1103
  • gigi1103
b. Write an expression equivalent to 4x + 12 using the distributive property.
Mathematics
jamiebookeater
  • jamiebookeater
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gigi1103
  • gigi1103
phi
  • phi
can you write 12 as 4*3 ? yes so do that 4x+4*3
gigi1103
  • gigi1103
huh?

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phi
  • phi
now "factor out" 4 from each term (this is the opposite of "distributing" ) for example if you had 2(x+1) you would do 2*x + 2*1 or 2x+2 to undo that we write 2x+2 as 2*x + 2*1 and then "take out" the 2 that is in both terms. that leaves (x+1) and we put the 2 out front: 2(x+1)
phi
  • phi
for your problem 4x+12 we first write it as 4*x + 4*3 now "take out" the 4 and put it "out front"
gigi1103
  • gigi1103
like 4(x *3)
phi
  • phi
almost. it is x+3 inside the parens
gigi1103
  • gigi1103
so 4(x+3) ?
phi
  • phi
yes. as a check we can "distribute the 4" 4(x+3) = 4*x + 4*3 = 4x +12 which shows 4(x+3) means the same thing as 4x+12 we started with 4x+12 and "went backwards" and got 4(x+3)
gigi1103
  • gigi1103
so is that my answer?
phi
  • phi
yes
gigi1103
  • gigi1103
thanks!!

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