(a3 -b3)/(a+b) -কে (a⁴+b⁴+a²b²)/((a³+b³) দিয়ে ভাগ করলে ভাগফল কত হবে?
Solution
Correct Answer: Option B
(a3 -b3) /(a+b) ÷ (a⁴+b⁴+a²b²)/(a³+b³)
= (a-b)(a2 +ab+b2 )/(a+b) × (a+b)(a2 -ab+b2 )/ (a2)2 + 2a2b2 +(b2)2 -a2b2
= (a-b) (a2 +ab+b2)/(a+b) × (a+b) (a2 -ab+b2 ))/ (a2 + b2 )2 - (ab)2
= (a-b) (a2 +ab+b2)/(a+b) × (a+b) (a2 -ab+b2 ) /(a2 + ab+b2 ) (a2 - ab + b2 )
= (a - b) (a2 + ab+b2 )/ (a2 + ab + b2 )
= a - b
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