Subjects algebra

Difference Squares E2D8F7

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1. **State the problem:** Simplify the expression $ (y+2)(y-2) $. 2. **Recall the formula:** This is a difference of squares pattern, which states: $$ (a+b)(a-b) = a^2 - b^2 $$ 3. **Apply the formula:** Here, $a = y$ and $b = 2$, so: $$ (y+2)(y-2) = y^2 - 2^2 $$ 4. **Calculate the square:** $$ y^2 - 4 $$ 5. **Final answer:** The simplified form of $ (y+2)(y-2) $ is: $$ y^2 - 4 $$ This means multiplying these two binomials results in the difference of the square of $y$ and the square of 2.