Multiply and simplify. Assume that all variables represent positive real numbers.
-$( 8 \sqrt { 7 } - 5 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

To simplify $(8\sqrt{7} - 5)^2$, we use the formula $(a - b)^2 = a^2 - 2ab + b^2$, where $a = 8\sqrt{7}$ and $b = 5$. Thus, $a^2 = (8\sqrt{7})^2 = 64 \cdot 7 = 448$, $2ab = 2 \cdot 8\sqrt{7} \cdot 5 = 80\sqrt{7}$, and $b^2 = 5^2 = 25$. Adding these together, we get $448 - 80\sqrt{7} + 25 = 473 - 80\sqrt{7}$.

Multiply and Simplify (87−5)2( 8 \sqrt { 7 } - 5 ) ^ { 2 }(87​−5)2

Multiply and Simplify $( 8 \sqrt { 7 } - 5 ) ^ { 2 }$