Question

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

Answer 1

Answer:

$-1(12w-6)$

Step-by-step explanation:

we have

$(12w+6)$

Verify each expression

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