उत्तर द्या n2 - p2 अवयव पाड.
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Given : n² - p²
To Find : अवयव
Factorize
Solution:
n² - p²
Use a² - b² = (a + b)(a - b)
a = n
b = p
Hence
n² - p² = (n + p)(n - p)
n² - p² = (n + p)(n - p)
अवयव (n + p)(n - p)
Another method :
n² - p²
Add and subtract np
n² - p² + np - np
reorder terms
n² + np - p² - np
= n(n + p) - p(p + n)
= (n + p)(n - p)
Hence n² - p² = (n + p)(n - p)
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