a2 - b2, a3 - b3, a4 + a2b2 + b4 রাশিগুলোর গ.সা.গু কত?
Solution
Correct Answer: Option A
১ম রাশি = a2 - b2
= (a + b) (a - b)
২য় রাশি = a3 - b3
= (a - b) (a2 + ab + b2)
৩য় রাশি = a4 + a2b2 + b4
= (a2)2 + 2 . a2 . b2 + (b2)2 - a2b2
= (a2 + b2)2 - (ab)2
= (a2 + ab + b2)(a2 - ab + b2)
∴ রাশিগুলোর গ.সা.গু = 1
= (a + b) (a - b)
২য় রাশি = a3 - b3
= (a - b) (a2 + ab + b2)
৩য় রাশি = a4 + a2b2 + b4
= (a2)2 + 2 . a2 . b2 + (b2)2 - a2b2
= (a2 + b2)2 - (ab)2
= (a2 + ab + b2)(a2 - ab + b2)
∴ রাশিগুলোর গ.সা.গু = 1
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