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gulaghasi [49]
3 years ago
5

All of the following expressions are equivalent to 12w + 6, except:

Mathematics
1 answer:
Cloud [144]3 years ago
7 0

Answer:

-1(12w-6)

Step-by-step explanation:

we have

(12w+6)

<u><em>Verify each expression</em></u>

case 1) -1(12w-6)

Apply distributive property

Remember that

(-1)(-1)=1

(-1)(1)=-1

-1(12w)-1(-6)

-12w+6

compare with the given expression

-12w+6 \neq (12w+6) ----> are not equivalent

case 2) 2(3+6w)

Apply distributive property

2(3)+2(6w)

6+12w

compare with the given expression

6+12w=(12w+6) ---> are equivalent

case 3) 6(1+2w)

Apply distributive property

6(1)+6(2w)

6+12w

compare with the given expression

6+12w=(12w+6) ---> are equivalent

case 4) -1(-12w-6)

Apply distributive property

Remember that

(-1)(-1)=1

(-1)(1)=-1

-1(-12w)-(1)(-6)

12w+6

compare with the given expression

12w+6=(12w+6) ---> are equivalent

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