Multiply
-$(3-2 \sqrt{2})^{2}$
A) $9-4 \sqrt{2}$
B) $9+4 \sqrt{2}$
C) $17-12 \sqrt{2}$
D) $17+12 \sqrt{2}$

Name: Multiply -$(3-2 \sqrt{2})^{2}$ A) $9-4 \sqrt{2}$ B) $9+4 \sqrt{2}$ C) $17-12 \sqrt{2}$ D) $17+12 \sqrt{2}$
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Question

Quizplus · Accepted Answer

To multiply $(3-2 \sqrt{2})^{2}$, we use the formula $(a-b)^2 = a^2 - 2ab + b^2$, where $a=3$ and $b=2\sqrt{2}$. Thus, $a^2 = 9$, $2ab = 2 \cdot 3 \cdot 2\sqrt{2} = 12\sqrt{2}$, and $b^2 = (2\sqrt{2})^2 = 8$. Adding these together, we get $9 - 12\sqrt{2} + 8 = 17 - 12\sqrt{2}$.

Multiply - (3−22)2(3-2 \sqrt{2})^{2}(3−22​)2 A) 9−429-4 \sqrt{2}9−42​ B) 9+429+4 \sqrt{2}9+42​ C) 17−12217-12 \sqrt{2}17−122​ D) 17+12217+12 \sqrt{2}17+122​

Multiply
- $(3-2 \sqrt{2})^{2}$ A) $9-4 \sqrt{2}$ B) $9+4 \sqrt{2}$ C) $17-12 \sqrt{2}$ D) $17+12 \sqrt{2}$