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anjani panday

· started a discussion

· 1 Months ago

plz explain (Question: 86182.4 )

10 ^6 hw?

Question:
DIRECTIONS:- What approximate value should come in place of question mark (?) in each of the following questions?
\(\cfrac{2125 × 2125 - 2125 × 875 + 875 × 875}{2.125 × 2.125 × 2.125 + 0.875 × 0.875 × 0.875} \)            = ?
Options:
A) 2 × 103
B) 3 × 103
C) \(\cfrac{1}{3}\) × 106
D) 4 × 103
E) None of these
Solution:
Ans: (c) Given expression
\(\cfrac{2125 × 2125 - 2125 × 875 + 875 × 875}{2.125 × 2.125 × 2.125 + 0.875 × 0.875 × 0.875} \)             

\(=\cfrac{10^6[2.125 × 2.125 - 2.125 × 0.875 + 0.875 × 0.875]}{2.125 × 2.125 × 2.125 + 0.875 × 0.875 × 0.875} \)             

Byusing the formula

\(\cfrac{a^2-ab+b^2}{a^3+b^3}\)   = \(\cfrac{1}{a+b}\)

= \(10^6\times\cfrac{1}{2.125+0.875}\)    = \(\cfrac{1}{3}\times10^6\)

Content Admin Review

· commented

· 1 Months ago

Yet to be approved!

karunakaran

· commented

· 1 Months ago

10^3 is correct

anand yadav

· commented

· 1 Months ago

we taken 10^6 because to make denominator and numerator same see question properly
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