Question
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Tutor-Verified Answer
Answer
The simplified form is
.
Solution
Calculate or simplify the expression
.
Simplify the expression by following steps:
Simplify the expression by following steps:
- step0: Solution:
- step1: Expand the expression:
- step2: Add the terms:
The simplified form of the expressionis .
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Bonus Knowledge
To dive a little deeper into the world of equations, let’s consider how linear functions can describe real-world scenarios! For instance, if we rearrange your equation
into a more familiar linear form
, we can interpret
as the slope which tells us how steep the line is, and
as the y-intercept where the line crosses the y-axis. Imagine this line representing a budget: as you increase the variable
, your total expenses (or profits) change according to that slope.
Now, when manipulating equations like this, a common mistake is forgetting to distribute terms correctly! In your case, simplifying
requires being mindful of each step: distribute the 4 to both terms in the parentheses and combine like terms properly. Missing a sign or a term can change the meaning completely, so double-check each part!