Question

3%7D%2B5%20then%20find%20a%5E2%20-%20b%20%5E2" id="TexFormula1" title="if a= \sqrt{3}+5/\sqrt{3}-5 and b= \sqrt{3}-5/\sqrt{3}+5 then find a^2 - b ^2" alt="if a= \sqrt{3}+5/\sqrt{3}-5 and b= \sqrt{3}-5/\sqrt{3}+5 then find a^2 - b ^2" align="absmiddle" class="latex-formula">

Answer 1

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.

Read more on difference of squares;

brainly.com/question/1123986

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