Question
Download Solution PDFFind the value of 703 + 203 - 903.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFShortcut Trick
We know that a3 + b3 + c3 = 3abc if a + b + c = 0
703 + 203- 903
= 703 + 203 + (- 90)3
= 3 × 70 × 20 × (- 90) [∵ 70 + 20 + (- 90) = 0]
= - 378000
∴ The value of the given expression is - 378000
Alternate Method
Given:
The given expression = 703 + 203- 903
Calculation:
703 + 203- 903
= 343000 + 8000 - 729000
= 351000 - 729000
= - 378000
∴ The value of the given expression is - 378000
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