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Expand āˆ’76(3g+2)

āˆ’
7
6
(
3
š‘”
+
2
)
.(1 point)
Responses

72g+2
7
2
š‘”
+
2
Start Fraction 7 over 2 End Fraction g plus 2

72gāˆ’73
7
2
š‘”
āˆ’
7
3
Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction

āˆ’72gāˆ’73
āˆ’
7
2
š‘”
āˆ’
7
3
negative Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction

āˆ’72g+2 //////////////////////

1 answer

To expand the expression \(-76(3g + 2)\), we apply the distributive property, which involves multiplying \(-76\) by each term inside the parentheses.

  1. First, multiply \(-76\) by \(3g\): \[ -76 \cdot 3g = -228g \]

  2. Next, multiply \(-76\) by \(2\): \[ -76 \cdot 2 = -152 \]

Now, combine both results: \[ -76(3g + 2) = -228g - 152 \]

Now let's look at the choices you provided to find the correct form:

  1. \(72g + 2\)
  2. \(\frac{7}{2}g + 2\)
  3. \(72g - 73\)
  4. \(\frac{7}{2}g - \frac{7}{3}\)
  5. \(-72g - 73\)
  6. \(-\frac{7}{2}g - \frac{7}{3}\)
  7. \(-72g + 2\)

None of these options match the result \(-228g - 152\), which is the correct expanded form of the expression \(-76(3g + 2)\). However, it looks like the coefficients have been mistakenly presented in terms of smaller values.

Please double-check the options you have provided or the initial expression.