Question

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Answer 1

Answer:

Given (38)² − (37)²

According to the property 8 i.e., for every natural number n, we have [(n+1)² −n²]

= [(n+1)+n]

Here n=37

By applying the above property we get

(38)² − (37)²

= (37+1) + 37 = 38 + 37

= 75

I hope this will be help you.

Answer 2

$\huge\tt{\bold{\purple{\underbrace{\red{\mathfrak{Answer♡༄}}}}}}$

$Here \: we \: will \: use \: the \: following \: property, \\ \implies {a}^{2} - {b}^{2} = (a - b)(a + b) \\ \implies {(38)}^{2} - {(37)}^{2} = (38 - 37)(38 + 37) \\ \implies1 \times 75$

$\\ \\\huge{\fbox{answer :75}}$

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