Question:উৎপাদকে বিশ্লেষণ কর: `14(x + z)^2 - 29(x + z) (x + 1) - 15(x + 1)^2`
Answer `14(x + z)^2 - 29(x + z) (x + 1) - 15(x + 1)^2` ধরি, `x + z = p` এবং `x + 1 = q` প্রদত্ত রাশি, `= 14p^2 - 29pq - 15q^2` `= 14p^2 - 35pq + 6pq - 15q^2` `= 7p(2p - 5q) + 3q(2p - 5q)` `= (2p - 5q) (7p + 3q)` `= {2(x + z) - 5(x + 1)} {7(x + z) + 3(x + 1)}` [p, q এর মান বসিয়ে] `= (2x + 2z - 5x - 5) (7x + 7z + 3x + 3)` `= (2z - 3x - 5) (10x + 7z + 3)` (Ans)
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utpadoke bisholeshn karo: `14(x + z)^2 - 29(x + z) (x + 1) - 15(x + 1)^2`