Pollard Harper
09/12/2023 · High School
\( \left(x-\frac{y}{2}\right) \cdot\left(x+\frac{y}{2}\right) \) fatore
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Step-by-step Solution
To factor the expression \( \left(x - \frac{y}{2}\right) \cdot \left(x + \frac{y}{2}\right) \), we can recognize that it is in the form of a difference of squares. The general form for the difference of squares is:
\[
a^2 - b^2 = (a - b)(a + b)
\]
In this case, we can let:
- \( a = x \)
- \( b = \frac{y}{2} \)
Thus, we can rewrite the expression as:
\[
x^2 - \left(\frac{y}{2}\right)^2
\]
Now, applying the difference of squares formula, we have:
\[
x^2 - \left(\frac{y}{2}\right)^2 = \left(x - \frac{y}{2}\right) \cdot \left(x + \frac{y}{2}\right)
\]
So, the factored form of the expression is:
\[
x^2 - \frac{y^2}{4}
\]
Therefore, the final answer is:
\[
x^2 - \frac{y^2}{4}
\]
Quick Answer
The factored form is \( x^2 - \frac{y^2}{4} \).
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