Question

If a³-b³=127,a-b=1 find ab

Answer 1

Answer:

42

Step-by-step explanation:

• a³-b³=127,
• a-b=1
• ab=?

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• a³-b³=127

a³-b³= (a-b)(a²+ab+b²)=1*(a²-2ab+b²+3ab)= (a-b)²+3ab=1²+3ab

• 1+3ab=127
• 3ab=126
• ab=126/3
• ab=42

Answer is ab=42