The result of the evaluation as demanded in the task content is; -40 - 80√3.
What is the value of a²-b²?
The expression; a² - b² can be evaluated by means of difference of two squares as follows;
a² - b² = (a+b)(a-b)
Therefore, we have;
= ((√3 +5√3 -5) + (√3 -5√3 -5)) ((√3 +5√3 -5) - (√3 -5√3 -5))
= (2√3 -10)(10√3 +10)
= 60 - 80√3 -100
= -40 - 80√3.
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