Question

write an expression that is equivalent to 1/4a - 3.

1/4a - 3 = ___ (a - ___)

Answers

Answered by GPT-4o mini
To rewrite the expression \( \frac{1}{4}a - 3 \) in the form \( \frac{1}{4}a - 3 = (a - b) \), we need to factor out \(\frac{1}{4}\):

1. Start with the original expression:
\[
\frac{1}{4}a - 3
\]

2. Factor out \(\frac{1}{4}\):
\[
= \frac{1}{4}(a - 12)
\]

Now, we can rewrite it in the desired form:

\[
\frac{1}{4}a - 3 = \frac{1}{4}(a - 12)
\]

Thus, in the form \( (a - b) \), we have:

\[
1/4a - 3 = \frac{1}{4}(a - 12)
\]

So, \( b = 12 \).

The final answer is:
\[
1/4a - 3 = (a - 12) \quad \text{where} \quad b = 12
\]
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