Question
Download Solution PDFFind the value of (13)3 + (- 8)3 + (- 5)3
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(13)3 + (- 8)3 + (- 5)3
Concept used:
A3 - B3 = (A - B) (A2 + AB + B2)
(-A)3 = -A3
Calculation:
(13)3 + (- 8)3 + (- 5)3
⇒ (133 - 83) - 53
⇒ (13 - 8) (132 + 13 × 8 + 82) - 125
⇒ 5 × (169 + 104 + 64) - 125
⇒ 5 × 337 - 125
⇒ 5 × (337 - 25)
⇒ 5 × 312
⇒ 40 × 39
⇒ 39 × 40
∴ The value of (13)3 + (- 8)3 + (- 5)3 is 39 × 40.
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