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Product of Two Consecutive Even or Odd Natural Numbers

Square root o...

Question

Square root of $a^{2} - 2 a x + x^{2} + 2 a - 2 x + 1$

(a + x + 1)

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(a + x - 1)

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ax + 1 -a

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a - x + 1

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Solution

The correct option is D a - x + 1
$a^{2} - 2 a x + x^{2} + 2 a - 2 x + 1$
$= (a - x)^{2} + x^{2} + 2 (a - x) .1 + 1$
$= (a - x + 1)^{2}$
So, the required square root will be
$\sqrt{(a - x + 1)^{2}} = a - x + 1$

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