Question:উৎপাদকে বিশ্লেষণ কর: `(a - 1)x^2 + a^2 xy + (a + 1) y^2`
Answer `(a - 1)x^2 + a^2 xy + (a + 1) y^2` `a - 1 = p` `a + 1 = q` ------------------------------ :.` (a - 1) (a + 1) = pq` [গুণ করে] `a^2 - 1 = pq` `:. a^2 = pq + 1` প্রদত্ত রাশি `= px^2 + (pq + 1) xy + qy^2` `= px^2 + pqxy + xy + qy^2` `= px(x + qy) + y(x + qy)` `= (x + qy) (px + y)` `= {x + (a + 1)y} {(a - 1) x + y} `[p q এর মান বসিয়ে] `= (x + ay + y) (ax - x + y)` (Ans)
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utpadoke bisholeshn karo: `(a - 1)x^2 + a^2 xy + (a + 1) y^2`