Question

Which expressions are equivalent to

−
3
(
2
�
+
6
)
−
4
−3(2w+6)−4minus, 3, left parenthesis, 2, w, plus, 6, right parenthesis, minus, 4 ?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
6
�
−
14
6w−146, w, minus, 14
A
6
�
−
14
6w−146, w, minus, 14
(Choice B)
2
(
−
3
�
+
(
−
11
)
)
2(−3w+(−11))2, left parenthesis, minus, 3, w, plus, left parenthesis, minus, 11, right parenthesis, right parenthesis
B
2
(
−
3
�
+
(
−
11
)
)
2(−3w+(−11))2, left parenthesis, minus, 3, w, plus, left parenthesis, minus, 11, right parenthesis, right parenthesis
(Choice C) None of the above
C
None of the above

Answer 1

Given the expression, -3(2w+6)-4, we are to look for an equivalent expression for the equation. This is as shown:

Step 1: Open the parenthesis

`= -3(2w+6)-4`

`= -3(2w)-3(6)-4`

`= -6w-18-4`

Step 2: Simplify the resulting expression in step 1

=
`-6w-18-4`

`= -6w - 22`

Step 3: factor out the common values from each term. Since the common value is 2, on factoring we will have:

`\boxed{\bold{2\{-3w+(-11)\}}}`

Hence the equivalent expression is 2{-3w+(-11)}