Multiply
-$(5 \sqrt{7}-4 \sqrt{11})^{2}$
A) $-9-40 \sqrt{77}$
B) 351
C) $351-40 \sqrt{77}$
D) $351-20 \sqrt{77}$

Question

Quizplus · Accepted Answer

To multiply $(5 \sqrt{7}-4 \sqrt{11})^{2}$, we use the formula $(a-b)^2 = a^2 - 2ab + b^2$. Here, $a = 5\sqrt{7}$ and $b = 4\sqrt{11}$. So, $a^2 = (5\sqrt{7})^2 = 25 \times 7 = 175$, $b^2 = (4\sqrt{11})^2 = 16 \times 11 = 176$, and $2ab = 2 \times 5\sqrt{7} \times 4\sqrt{11} = 40\sqrt{77}$. Thus, the result is $175 + 176 - 40\sqrt{77} = 351 - 40\sqrt{77}$.

Multiply - (57−411)2(5 \sqrt{7}-4 \sqrt{11})^{2}(57​−411​)2 A) −9−4077-9-40 \sqrt{77}−9−4077​ B) 351 C) 351−4077351-40 \sqrt{77}351−4077​

Multiply
- $(5 \sqrt{7}-4 \sqrt{11})^{2}$ A) $-9-40 \sqrt{77}$ B) 351
C) $351-40 \sqrt{77}$