Question

(√3-1)²-(√3+1)²
step explanation pls​

Answer 1

Answer:

plssss mark brainliest

Answer 2

☆Given Question :-

$\sf \:Evaluate \: (√3-1)²-(√3+1)²$

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☆Required Answer:-

$\sf \: - 4 \sqrt{3}$

☆Identity used :-

$\sf \: ⟼(a + b)² = a² + 2ab + b² \\ \sf \: ⟼ \: (a - b)² = a² - 2ab + b² \\ \sf \: ⟼ \: </h3><h3>a² - b² = (a + b)(a - b)$

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☆Explanation:-

$\sf \: Consider \: (√3-1)²-(√3+1)²$

$\sf \: {( \sqrt{3} )}^{2} + {1}^{2} - 2 \times 1 \times \sqrt{3} - ( {( \sqrt{3} )}^{2} + 1 + 2 \times 1 \times \sqrt{3} )$

$\sf \: ⟼3 + 1 - 2 \sqrt{3} - (3 + 1 + 2 \sqrt{3} )$

$\sf \: ⟼ \: 4 - 2 \sqrt{3} - 4 - 2 \sqrt{3}$

$\sf \: ⟼ \: - \: 4 \sqrt{3}$

$\begin{gathered}\bf\blue{Hence}\end{gathered}$

$\large{\boxed{\boxed{\sf{∴ \: (√3-1)²-(√3+1)² = - 4 \sqrt{3} }}}}$

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