Question:উৎপাদকে বিশ্লেষণ কর: `(a^2 - b^2) (x^2 - y^2) + 4abxy` 

Answer `a^2 - b^2) (x^2 - y^2) + 4abxy` `= a^2x^2 - a^2y^2 - b^2x^2 + b^2y^2 + 4abxy` `= a^2x^2 + 2axby + b^2y^2 - a^2y^2 + 2axby - b^2x^2` `= (a^2x^2 + 2abxy + b^2y^2) - (a^2y^2 - 2abxy + b^2x^2)` `= {(ax)^2 + 2ax.by + (by)^2} - {(ay)^2 - 2.ay.bx + (bx)^2}` `= (ax + by)^2 - (ay - bx)^2` `= {(ax + by) + (ay - bx)} {(ax + by) - (ay - bx)}` `= (ax + by + ay - bx)^2` `= {(ax + by) + (ay - bx)}{(ax + by) - (ay - bx)}` `= (ax + by + ay - bc) (ax + by - ay + bx)` (Ans) 

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utpadoke bisholeshn karo: `(a^2 - b^2) (x^2 - y^2) + 4abxy`
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