Question:উৎপাদকে বিশ্লেষণ কর: `a^3 - 9b^3 + (a + b)^3`
Answer `a^3 - 9b^3 + (a + b)^3` `= a^3 - b^3 + (a + b)^3 - 8b^3` `= (a - b) (a^2 + ab + b^2) + (a + b)^3 - (2b)^3` `= (a - b) (a^2 + ab + b^2) + (a + b - 2b) {(a + b)^2 + (a + b).2b + (2b)^2}` `= (a - b) (a^2 + ab + b^2) + (a - b) (a^2 + 2ab + b^2 + 2ab + 2b^2 + 4b^2)` `= (a - b) (a^2 + ab + b^2) + (a - b) (a^2 + 4ab + 7b^2)` `= (a - b) (a^2 + ab + b^2 + a^2 + 4ab + 7b^2)` `= (a - b) (2a^2 + 5ab + 8b^2)` (Ans)
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utpadoke bisholeshn karo: `a^3 - 9b^3 + (a + b)^3`