Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 22)
22.
753 x 753 + 247 x 247 - 753 x 247 = ?
753 x 753 x 753 + 247 x 247 x 247
1
1000
1
506
253
500
None of these
Answer: Option
Explanation:
Given Exp. = (a2 + b2 - ab) = 1 = 1 = 1
(a3 + b3) (a + b) (753 + 247) 1000
Discussion:
24 comments Page 2 of 3.

Divi said:   9 years ago
Anyone please derive this equation a^3 + b^3 = a^2 + b^2 - ab.

Shweta said:   9 years ago
@Divi.

(a^2 + b^2 - ab)/(a^3 + b^3).

Formula: (a^3 + b^3) = (a+b)(a^2 + b^2 - ab).
(a^2 + b^2 - ab)/(a + b)(a^2 + b^2 - ab) = 1/(a+b).
(1)

Muhammad Ahsan said:   9 years ago
Can anybody explain after this step?

a2+b2-ab / a2+b2-ab.

How 1/a+b comes from that above equation?

Farzee said:   8 years ago
(a^3+b^3) = (a+b) (a^2-ab+b^2).

1/(a+b) = (a^2-ab+b^2)/(a^3+b^3).
(2)

Sriji said:   8 years ago
Explain the formula please.

Arjuna said:   7 years ago
Here, we can use.

(a^3+b^3) = (a+b) (a^2-ab+b^2).
1/(a+b) = (a^2-ab+b^2)/(a^3+b^3).
(4)

Arjuna said:   7 years ago
Hi, can anyone explain it in the direct method?
(1)

Zain said:   6 years ago
I am not getting this, Please anyone explain me.

Kiran said:   6 years ago
Can you explain the formula for the answer?

Shipra said:   6 years ago
(753) ^2+(247) ^2-753*247/(753) ^3+(247) ^3.
= (753) +(247) /+(753) ^3+(247) ^3.
= 1/(753) ^2+(247) ^2.
= 1/(753+247).
= 1/1000.
(2)


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