Question

$( \frac{x + 1}{2} ) {}^{2} - ( \frac{x - 1}{2} ) {}^{2}$
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Answer 1

Step-by-step explanation:

by using formula a*2 - b*2

• (x+1/2 +x-1/2) (x+1/2 - x+1/2)
• (x+1+x-1/2) (x+1-x+1/2)
• 2x/2 *1
• x = 1

Answer 2

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$( \frac{x + 1}{2} {)}^{2} - ( \frac{x - 1}{2} {)}^{2}$

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$= > ( \frac{x + 1}{2} + \frac{x - 1}{2} )( \frac{x + 1}{2} - \frac{x - 1}{2} )$

$= > \frac{x + 1}{2} ( \frac{x + 1}{2} - \frac{x - 1}{2} ) + \frac{x - 1}{2} ( \frac{x + 1}{2} - \frac{x - 1}{2} ×1)$

$= > x = 1$

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