If a – b = 8 and ab = 3, then find the value of a3 – b3.1. 5362. 5

1.	If a – b = 8 and ab = 3, then find the value of a3 – b3.1. 5362. 5243. 5844. 684
Answer» Correct Answer - Option 3 : 584 Given: a – b = 8 ab = 3 Formula used: (a – b)³ = a³ – b³ – 3ab(a – b) Calculation: (a – b)³ = a3 – b3 – 3ab(a – b) ⇒ 8³ = a³ – b³ – 3 × 3 × (8) ⇒ 512 = a3 – b3 – 72 ⇒ a3 – b3 = 512 + 72 = 584 ∴ The correct answer is 584

If a – b = 8 and ab = 3, then find the value of a3 – b3.1. 5362. 5243. 5844. 684

Answer» Correct Answer - Option 3 : 584

Given:

a – b = 8

ab = 3

Formula used:

(a – b)³ = a³ – b³ – 3ab(a – b)

Calculation:

(a – b)³ = a3 – b3 – 3ab(a – b)

⇒ 8³ = a³ – b³ – 3 × 3 × (8)

⇒ 512 = a3 – b3 – 72

⇒ a3 – b3 = 512 + 72 = 584

∴ The correct answer is 584

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If a – b = 8 and ab = 3, then find the value of a3 – b3.1. 5362. 5243. 5844. 684

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