समाधान करे \frac{111\times111\times111+99\times99\times99+3\times111\times111\times99+3\times111\times99\times99}{111\times111+99\times99+2\times111\times99} :

Dehli Police Constable Model Paper 3 (HM)

Question : 77 of 100

Marks: +1, -0

समाधान करे

{111×111×111+99×99×99+3×111×111×99+3×111×99×99}/{111×111+99×99+2×111×99} :

Solution:

दिया है:

{111×111×111+99×99×99+3×111×111×99+3×111×99×99}/{111×111+99×99+2×111×99} :

उपयोग किया गया सूत्र:

(a + b)^3

a^3 + b^3 + 3a^2b + 3ab^2

(a + b)^2

a^2 + b^2 + 2ab

गणना:
=

{111×111×111+99×99×99+3×111×111×99+3×111×99×99}/{111×111+99×99+2×111×99} :

{111^3+99^3+3×111^2×99+3×111×99^2}/{111^2+99^2+2×111×99}

अब,
=

(111+99)^2/(111+99)^2

= (111 + 99)
= 210

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